usage-examples.nb

(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 11.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    331233,       6639]
NotebookOptionsPosition[    326920,       6556]
NotebookOutlinePosition[    327583,       6578]
CellTagsIndexPosition[    327477,       6573]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{"Quit", "[", "]"}]], "Input",
 CellChangeTimes->{{3.73315833756669*^9, 3.733158338833561*^9}},
 CellLabel->"In[1]:=",ExpressionUUID->"3de6fe9b-5362-46ba-9eb7-a3ec9ec0c4f2"],

Cell[BoxData[
 RowBox[{"Needs", "@", "\"\<RunningCouplings`\>\""}]], "Input",
 CellChangeTimes->{{3.7331486367131767`*^9, 3.733148646179502*^9}, {
  3.7331492496650457`*^9, 3.733149250126745*^9}},
 CellLabel->"In[1]:=",ExpressionUUID->"51a3df49-e0c8-48be-8e83-a43ae97c32d2"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"?", "\"\<RunningCouplings`*\>\""}]], "Input",
 CellChangeTimes->{{3.733158262405966*^9, 3.733158268022306*^9}, 
   3.7759137748613234`*^9},
 CellLabel->"In[2]:=",ExpressionUUID->"a5e95704-e474-40b8-a789-1ad8a6114b64"],

Cell[BoxData[
 StyleBox[
  FrameBox[GridBox[{
     {
      DynamicModuleBox[{Typeset`open$$ = True}, 
       PaneSelectorBox[{False->
        ButtonBox[
         RowBox[{
          
          DynamicBox[FEPrivate`FrontEndResource[
           "FEBitmaps", "RightPointerOpener"]], " ", 
          StyleBox["RunningCouplings`", "InformationGridGroupHeader"]}],
         Appearance->None,
         BaseStyle->"InformationGridLink",
         ButtonFunction:>FEPrivate`Set[Typeset`open$$, True],
         Evaluator->Automatic,
         Method->"Preemptive"], True->
        PaneBox[GridBox[{
           {
            ButtonBox[
             RowBox[{
              
              DynamicBox[FEPrivate`FrontEndResource[
               "FEBitmaps", "DownPointerOpener"],
               ImageSizeCache->{10., {3., 7.}}], " ", 
              StyleBox["RunningCouplings`", "InformationGridGroupHeader"]}],
             Appearance->None,
             BaseStyle->"InformationGridLink",
             ButtonFunction:>FEPrivate`Set[Typeset`open$$, False],
             Evaluator->Automatic,
             Method->"Preemptive"]},
           {
            PaneBox[GridBox[{
               {
                ButtonBox[
                 StyleBox["BuildSMDR", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "BuildSMDR", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["MixingMatrix", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "MixingMatrix", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RunningCouplings", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RunningCouplings", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RunningWeinbergOperator", "InformationGridButton"],
                 
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RunningWeinbergOperator", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["SMDRCalcRGrun", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "SMDRCalcRGrun", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic]},
               {
                ButtonBox[
                 StyleBox["ComplexAround", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "ComplexAround", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["MixingParameters", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "MixingParameters", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RunningGaugeCoupling", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RunningGaugeCoupling", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RunningYukawaCoupling", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RunningYukawaCoupling", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["TakagiFactorization", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "TakagiFactorization", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic]},
               {
                ButtonBox[
                 
                 StyleBox["ConfigureRunningCouplings", 
                  "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "ConfigureRunningCouplings", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RenormalizeModel", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RenormalizeModel", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["RunningMixingParameter", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "RunningMixingParameter", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], 
                ButtonBox[
                 StyleBox["SMDRCalcFit", "InformationGridButton"],
                 Appearance->None,
                 BaseStyle->"InformationGridLink",
                 
                 ButtonData:>{
                  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", {
                   "SMDRCalcFit", "RunningCouplings`"}, False},
                 ButtonNote->"RunningCouplings`",
                 Evaluator->Automatic], ""}
              },
              DefaultBaseStyle->"Text",
              
              GridBoxAlignment->{
               "Columns" -> {{Left}}, "Rows" -> {{Baseline}}},
              GridBoxItemSize->{"Columns" -> {{
                   Scaled[0.19]}}}],
             ImageMargins->{{10, 0}, {0, 2}}]}
          },
          GridBoxAlignment->{"Columns" -> {{Left}}, "Rows" -> {{Baseline}}}],
         FrameMargins->{{0, 0}, {8, 0}}]}, Dynamic[Typeset`open$$],
        ImageSize->Automatic]]}
    },
    GridBoxAlignment->{"Columns" -> {{Left}}, "Rows" -> {{Baseline}}},
    GridBoxDividers->{"ColumnsIndexed" -> {{False}}, "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.5599999999999999]}, 
        Offset[0.27999999999999997`]}, "Rows" -> {
        Offset[0.2], {
         Offset[0.8]}, 
        Offset[0.2]}}],
   BaseStyle->"InformationTitleFrame"], "InformationGridPlain"]], "Output",
 CellChangeTimes->{{3.774047719624669*^9, 3.774047731590713*^9}, 
   3.774048422879487*^9, 3.7740499486327763`*^9, 3.775913734064435*^9, 
   3.775913775380484*^9, 3.776533930052843*^9, {3.776540471971323*^9, 
   3.776540484138661*^9}},
 CellLabel->"Out[2]=",ExpressionUUID->"4190a89f-6b89-4ee7-887e-373c7b8f32ae"],

Cell[BoxData[
 InterpretationBox[
  StyleBox[
   FrameBox[
    DynamicModuleBox[{System`InformationDump`open$$ = False, 
     System`InformationDump`mouseOver$$ = False}, 
     PaneSelectorBox[{True->
      TagBox[GridBox[{
         {
          ItemBox[
           PaneBox[
            StyleBox["\<\" Symbol\"\>", "InformationTitleText",
             StripOnInput->False,
             BaseStyle -> None],
            FrameMargins->{{4, 0}, {-1, 1}}],
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False], 
          ItemBox["\<\"\"\>",
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False]},
         {
          ItemBox[
           PaneBox[
            
            StyleBox["\<\"RunningCouplings[\\\"model\\\", q, opts] calculates \
the running couplings in model \\\"model\\\" at the scale q using options \
opts.\"\>", "InformationUsageText",
             StripOnInput->False,
             LineSpacing->{1.5, 1.5, 3.}],
            FrameMargins->{{10, 10}, {8, 10}}],
           BaseStyle->"InformationUsageSubtitleBackground",
           StripOnInput->False], 
          ItemBox["\<\"\"\>",
           BaseStyle->"InformationUsageSubtitleBackground",
           StripOnInput->False]},
         {
          PaneBox[GridBox[{
             {
              
              DynamicModuleBox[{System`InformationDump`open$$ = {
               False, False, False, False, False, False, False, False, False, 
                False, False, False}}, 
               StyleBox[GridBox[{
                  {
                   TagBox[
                    TooltipBox[
                    StyleBox["\<\" Definitions\"\>", "InformationRowLabel",
                    StripOnInput->False],
                    "\"Definitions\"",
                    TooltipStyle->"TextStyling"],
                    Annotation[#, "Definitions", "Tooltip"]& ], GridBox[{
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    "RunningCouplings`Private`model_", 
                    ",", "\<\"Values\"\>"}], "}"}], ",", 
                    "RunningCouplings`Private`scale_", ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`couplings", "=", 
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    "RunningCouplings`Private`model", ",", 
                    "RunningCouplings`Private`scale", ",", 
                    "RunningCouplings`Private`opts"}], "]"}]}], "}"}], ",", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`pos", "=", 
                    RowBox[{"Position", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", "_Around"}], 
                    "]"}]}], "}"}], ",", 
                    RowBox[{"ReplacePart", "[", 
                    RowBox[{"RunningCouplings`Private`couplings", ",", 
                    RowBox[{"Thread", "[", 
                    RowBox[{"RunningCouplings`Private`pos", "\[Rule]", 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"Extract", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", 
                    "RunningCouplings`Private`pos"}], "]"}], "/.", 
                    "\[VeryThinSpace]", 
                    RowBox[{
                    "RunningCouplings`Private`a_Around", "\[RuleDelayed]", 
                    RowBox[{
                    "RunningCouplings`Private`a", "[", "\<\"Value\"\>", 
                    "]"}]}]}], ")"}]}], "]"}]}], "]"}]}], "]"}]}], "]"}]}]},
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    "RunningCouplings`Private`model_", 
                    ",", "\<\"Uncertainties\"\>"}], "}"}], ",", 
                    "RunningCouplings`Private`scale_", ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`couplings", "=", 
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    "RunningCouplings`Private`model", ",", 
                    "RunningCouplings`Private`scale", ",", 
                    "RunningCouplings`Private`opts"}], "]"}]}], "}"}], ",", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`pos", "=", 
                    RowBox[{"Position", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", "_Around"}], 
                    "]"}]}], "}"}], ",", 
                    RowBox[{"ReplacePart", "[", 
                    RowBox[{"RunningCouplings`Private`couplings", ",", 
                    RowBox[{"Thread", "[", 
                    RowBox[{"RunningCouplings`Private`pos", "\[Rule]", 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"Extract", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", 
                    "RunningCouplings`Private`pos"}], "]"}], "/.", 
                    "\[VeryThinSpace]", 
                    RowBox[{
                    "RunningCouplings`Private`a_Around", "\[RuleDelayed]", 
                    RowBox[{
                    "RunningCouplings`Private`a", "[", "\<\"Uncertainty\"\>", 
                    "]"}]}]}], ")"}]}], "]"}]}], "]"}]}], "]"}]}], "]"}]}]},
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    "RunningCouplings`Private`model_", 
                    ",", "\<\"Invervals\"\>"}], "}"}], ",", 
                    "RunningCouplings`Private`scale_", ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`couplings", "=", 
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    "RunningCouplings`Private`model", ",", 
                    "RunningCouplings`Private`scale", ",", 
                    "RunningCouplings`Private`opts"}], "]"}]}], "}"}], ",", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`pos", "=", 
                    RowBox[{"Position", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", "_Around"}], 
                    "]"}]}], "}"}], ",", 
                    RowBox[{"ReplacePart", "[", 
                    RowBox[{"RunningCouplings`Private`couplings", ",", 
                    RowBox[{"Thread", "[", 
                    RowBox[{"RunningCouplings`Private`pos", "\[Rule]", 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"Extract", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", 
                    "RunningCouplings`Private`pos"}], "]"}], "/.", 
                    "\[VeryThinSpace]", 
                    RowBox[{
                    "RunningCouplings`Private`a_Around", "\[RuleDelayed]", 
                    RowBox[{
                    "RunningCouplings`Private`a", "[", "\<\"Interval\"\>", 
                    "]"}]}]}], ")"}]}], "]"}]}], "]"}]}], "]"}]}], "]"}]}]},
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{
                    "RunningCouplings`Private`model_", 
                    ",", "\<\"Ranges\"\>"}], "}"}], ",", 
                    "RunningCouplings`Private`scale_", ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`couplings", "=", 
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    "RunningCouplings`Private`model", ",", 
                    "RunningCouplings`Private`scale", ",", 
                    "RunningCouplings`Private`opts"}], "]"}]}], "}"}], ",", 
                    RowBox[{"With", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`pos", "=", 
                    RowBox[{"Position", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", "_Around"}], 
                    "]"}]}], "}"}], ",", 
                    RowBox[{"ReplacePart", "[", 
                    RowBox[{"RunningCouplings`Private`couplings", ",", 
                    RowBox[{"Thread", "[", 
                    RowBox[{"RunningCouplings`Private`pos", "\[Rule]", 
                    RowBox[{"(", 
                    RowBox[{
                    RowBox[{"Extract", "[", 
                    RowBox[{
                    "RunningCouplings`Private`couplings", ",", 
                    "RunningCouplings`Private`pos"}], "]"}], "/.", 
                    "\[VeryThinSpace]", 
                    RowBox[{
                    "RunningCouplings`Private`a_Around", "\[RuleDelayed]", 
                    RowBox[{"MinMax", "[", 
                    RowBox[{
                    "RunningCouplings`Private`a", "[", "\<\"Inverval\"\>", 
                    "]"}], "]"}]}]}], ")"}]}], "]"}]}], "]"}]}], "]"}]}], 
                    "]"}]}]},
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    
                    RowBox[{"\<\"SM\"\>", 
                    ",", "\<\"TopQuarkPoleMassScale\"\>", ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"RunningCouplings`Private`iRunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"\<\"SM\"\>", ",", "\<\"SMDR\"\>"}], "}"}], 
                    ",", "\<\"TopQuarkPoleMassScale\"\>", ",", 
                    RowBox[{"FilterRules", "[", 
                    RowBox[{
                    RowBox[{"{", "RunningCouplings`Private`opts", "}"}], ",", 
                    
                    RowBox[{
                    "Options", "[", 
                    "RunningCouplings`Private`iRunningCouplings", "]"}]}], 
                    "]"}]}], "]"}]}]},
                    {
                    RowBox[{
                    RowBox[{"RunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"RunningCouplings`Private`model", ":", 
                    RowBox[{"\<\"SM\"\>", "|", "\<\"MSSM\"\>"}]}], ",", 
                    RowBox[{
                    "RunningCouplings`Private`scale_", "?", "NumericQ"}], ",", 
                    RowBox[{"RunningCouplings`Private`opts", ":", 
                    RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], ":=", 
                    RowBox[{"RunningCouplings`Private`iRunningCouplings", "[", 
                    RowBox[{
                    RowBox[{"{", 
                    RowBox[{"RunningCouplings`Private`model", ",", 
                    RowBox[{
                    RowBox[{
                    "OptionValue", "[", "\<\"RenormalizationMethod\"\>", 
                    "]"}], "/.", "\[VeryThinSpace]", 
                    RowBox[{"Automatic", "\[Rule]", "\<\"NDSolve\"\>"}]}]}], 
                    "}"}], ",", "RunningCouplings`Private`scale", ",", 
                    RowBox[{"FilterRules", "[", 
                    RowBox[{
                    RowBox[{"{", "RunningCouplings`Private`opts", "}"}], ",", 
                    
                    RowBox[{
                    "Options", "[", 
                    "RunningCouplings`Private`iRunningCouplings", "]"}]}], 
                    "]"}]}], "]"}]}]}
                    },
                    DefaultBaseStyle->"Column",
                    GridBoxAlignment->{"Columns" -> {{Left}}},
                    
                    GridBoxItemSize->{
                    "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}]},
                  {
                   TagBox[
                    TooltipBox[
                    
                    StyleBox["\<\" Default Definitions\"\>", 
                    "InformationRowLabel",
                    StripOnInput->False],
                    "\"DefaultValues\"",
                    TooltipStyle->"TextStyling"],
                    Annotation[#, "DefaultValues", "Tooltip"]& ], 
                   InterpretationBox[GridBox[{
                    {
                    RowBox[{
                    RowBox[{
                    "SyntaxInformation", "[", "RunningCouplings", "]"}], "=", 
                    
                    RowBox[{"{", 
                    RowBox[{
                    RowBox[{"\<\"ArgumentsPattern\"\>", "\[Rule]", 
                    RowBox[{"{", 
                    RowBox[{"_", ",", "_", ",", 
                    RowBox[{"OptionsPattern", "[", "]"}]}], "}"}]}], ",", 
                    RowBox[{"\<\"OptionNames\"\>", "\[Rule]", 
                    RowBox[{"{", 
                    
                    RowBox[{"\<\"CKMParametrization\"\>", 
                    ",", "\<\"ErrorTolerance\"\>", 
                    ",", "\<\"FlavorMixing\"\>", 
                    ",", "\<\"LightestNeutrinoMass\"\>", 
                    ",", "\<\"LoopOrder\"\>", 
                    ",", "\<\"NeutrinoMassHierarchy\"\>", 
                    ",", "\<\"NeutrinoMassOperator\"\>", 
                    ",", "\<\"PMNSParametrization\"\>", 
                    ",", "\<\"RenormalizationMethod\"\>", 
                    ",", "\<\"SupersymmetryScale\"\>", ",", "\<\"TanBeta\"\>",
                     ",", "\<\"ThresholdUncertaintyFactor\"\>", ",", 
                    "AccuracyGoal", ",", "Compiled", ",", 
                    "DependentVariables", ",", "DiscreteVariables", ",", 
                    "EvaluationMonitor", ",", "InitialSeeding", ",", 
                    "InterpolationOrder", ",", "MaxStepFraction", ",", 
                    "MaxSteps", ",", "MaxStepSize", ",", "Method", ",", 
                    "NormFunction", ",", "PrecisionGoal", ",", 
                    "StartingStepSize", ",", "StepMonitor", ",", 
                    "WorkingPrecision"}], "}"}]}]}], "}"}]}]}
                    },
                    BaselinePosition->{Baseline, {1, 1}},
                    
                    GridBoxAlignment->{
                    "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}],
                    
                    ColumnForm[{
                    SyntaxInformation[RunningCouplings`RunningCouplings] = {
                    "ArgumentsPattern" -> {
                    Blank[], 
                    Blank[], 
                    OptionsPattern[]}, 
                    "OptionNames" -> {
                    "CKMParametrization", "ErrorTolerance", "FlavorMixing", 
                    "LightestNeutrinoMass", "LoopOrder", 
                    "NeutrinoMassHierarchy", "NeutrinoMassOperator", 
                    "PMNSParametrization", "RenormalizationMethod", 
                    "SupersymmetryScale", "TanBeta", 
                    "ThresholdUncertaintyFactor", AccuracyGoal, Compiled, 
                    DependentVariables, DiscreteVariables, EvaluationMonitor, 
                    InitialSeeding, InterpolationOrder, MaxStepFraction, 
                    MaxSteps, MaxStepSize, Method, NormFunction, 
                    PrecisionGoal, StartingStepSize, StepMonitor, 
                    WorkingPrecision}}}],
                    Editable->False]},
                  {
                   PaneSelectorBox[{True->
                    ButtonBox[
                    PaneSelectorBox[{False->
                    TemplateBox[{"\[ThickSpace]", "\"\[ThickSpace]\"", 
                    StyleBox[
                    "\"Options\"", "InformationRowLabel", StripOnInput -> 
                    False], 
                    DynamicBox[
                    FEPrivate`FrontEndResource[
                    "FEBitmaps", "DownPointerOpener"]]},
                    "RowWithSeparators"], True->
                    TemplateBox[{"\[ThickSpace]", "\"\[ThickSpace]\"", 
                    StyleBox[
                    "\"Options\"", "InformationRowLabel", StripOnInput -> 
                    False], 
                    DynamicBox[
                    FEPrivate`FrontEndResource[
                    "FEBitmaps", "DownPointerOpenerHot"]]},
                    "RowWithSeparators"]}, Dynamic[
                    CurrentValue["MouseOver"]],
                    FrameMargins->0,
                    ImageSize->Automatic],
                    Appearance->None,
                    BaseStyle->None,
                    
                    ButtonFunction:>(Part[System`InformationDump`open$$, 9] = 
                    False),
                    Evaluator->Automatic,
                    FrameMargins->0,
                    ImageMargins->0,
                    Method->"Preemptive"], False->
                    ButtonBox[
                    PaneSelectorBox[{False->
                    TemplateBox[{"\[ThickSpace]", "\"\[ThickSpace]\"", 
                    StyleBox[
                    "\"Options\"", "InformationRowLabel", StripOnInput -> 
                    False], 
                    DynamicBox[
                    FEPrivate`FrontEndResource[
                    "FEBitmaps", "RightPointerOpener"]]},
                    "RowWithSeparators"], True->
                    TemplateBox[{"\[ThickSpace]", "\"\[ThickSpace]\"", 
                    StyleBox[
                    "\"Options\"", "InformationRowLabel", StripOnInput -> 
                    False], 
                    DynamicBox[
                    FEPrivate`FrontEndResource[
                    "FEBitmaps", "RightPointerOpenerHot"]]},
                    "RowWithSeparators"]}, Dynamic[
                    CurrentValue["MouseOver"]],
                    FrameMargins->0,
                    ImageSize->Automatic],
                    Appearance->None,
                    BaseStyle->None,
                    
                    ButtonFunction:>(Part[System`InformationDump`open$$, 9] = 
                    True),
                    Evaluator->Automatic,
                    FrameMargins->0,
                    ImageMargins->0,
                    Method->"Preemptive"]}, Dynamic[
                    FEPrivate`Part[System`InformationDump`open$$, 9]]], 
                   PaneSelectorBox[{True->GridBox[{
                    {
                    
                    RowBox[{"\<\"CKMParametrization\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"ErrorTolerance\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"FlavorMixing\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"LightestNeutrinoMass\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    RowBox[{"\<\"LoopOrder\"\>", "\[Rule]", "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"NeutrinoMassHierarchy\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"NeutrinoMassOperator\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"PMNSParametrization\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"RenormalizationMethod\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"SupersymmetryScale\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    RowBox[{"\<\"TanBeta\"\>", "\[Rule]", "Automatic"}]},
                    {
                    
                    RowBox[{"\<\"ThresholdUncertaintyFactor\"\>", "\[Rule]", 
                    "Automatic"}]},
                    {
                    RowBox[{"AccuracyGoal", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"Compiled", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"DependentVariables", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"DiscreteVariables", "\[Rule]", 
                    RowBox[{"{", "}"}]}]},
                    {
                    RowBox[{"EvaluationMonitor", "\[Rule]", "None"}]},
                    {
                    RowBox[{"InitialSeeding", "\[Rule]", 
                    RowBox[{"{", "}"}]}]},
                    {
                    RowBox[{"InterpolationOrder", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"MaxStepFraction", "\[Rule]", 
                    FractionBox["1", "10"]}]},
                    {
                    RowBox[{"MaxSteps", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"MaxStepSize", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"Method", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"NormFunction", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"PrecisionGoal", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"StartingStepSize", "\[Rule]", "Automatic"}]},
                    {
                    RowBox[{"StepMonitor", "\[Rule]", "None"}]},
                    {
                    RowBox[{
                    "WorkingPrecision", "\[Rule]", "MachinePrecision"}]},
                    {
                    StyleBox[
                    
                    TemplateBox[{
                    "\"(\"", "\"\[InvisibleSpace]\"", "28", "\" total)\""},
                    "RowDefault"], "InformationRowOpener",
                    StripOnInput->False]}
                    },
                    BaselinePosition->{Baseline, {1, 1}},
                    DefaultBaseStyle->"Column",
                    GridBoxAlignment->{"Columns" -> {{Left}}},
                    
                    GridBoxItemSize->{
                    "Columns" -> {{Automatic}}, "Rows" -> {{1.}}}], False->
                    RowBox[{
                    
                    RowBox[{"\<\"CKMParametrization\"\>", "\[Rule]", 
                    "Automatic"}], "\[ThinSpace]", 
                    StyleBox["\<\"\[Ellipsis]\"\>", "InformationRowOpener",
                    StripOnInput->False], "\[ThinSpace]", 
                    StyleBox[
                    
                    TemplateBox[{
                    "\"(\"", "\"\[InvisibleSpace]\"", "28", "\" total)\""},
                    "RowDefault"], "InformationRowOpener",
                    StripOnInput->False]}]}, Dynamic[
                    FEPrivate`Part[System`InformationDump`open$$, 9]],
                    BaselinePosition->Baseline,
                    ImageSize->Automatic]},
                  {
                   TagBox[
                    TooltipBox[
                    StyleBox["\<\" Full Name\"\>", "InformationRowLabel",
                    StripOnInput->False],
                    "\"FullName\"",
                    TooltipStyle->"TextStyling"],
                    
                    Annotation[#, "FullName", 
                    "Tooltip"]& ], "\<\"RunningCouplings`RunningCouplings\"\>"}
                 },
                 AutoDelete->False,
                 GridBoxAlignment->{"Columns" -> {Right, Left}},
                 GridBoxDividers->None,
                 GridBoxItemSize->{"Columns" -> {Automatic, Automatic}},
                 GridBoxSpacings->{"Columns" -> {
                    Offset[0.27999999999999997`], {
                    Offset[0.5599999999999999]}, 
                    Offset[0.27999999999999997`]}, "Rows" -> {
                    Offset[0.2], {
                    Offset[0.8]}, 
                    Offset[0.2]}}], "DialogStyle",
                StripOnInput->False],
               DynamicModuleValues:>{}]}
            },
            DefaultBaseStyle->"Column",
            GridBoxAlignment->{"Columns" -> {{Left}}},
            GridBoxDividers->{"Columns" -> {{False}}, "Rows" -> {{False}}},
            
            GridBoxItemSize->{
             "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
            GridBoxSpacings->{"Columns" -> {
                Offset[0.27999999999999997`], {
                 Offset[0.5599999999999999]}, 
                Offset[0.27999999999999997`]}, "Rows" -> {
                Offset[0.2], {
                 Offset[3.6]}, 
                Offset[0.2]}}],
           FrameMargins->6], ""},
         {
          ItemBox[
           TagBox[
            ButtonBox[
             PaneSelectorBox[{False->
              
              DynamicBox[FEPrivate`FrontEndResource[
               "FEBitmaps", "UpPointerOpener"]], True->
              
              DynamicBox[FEPrivate`FrontEndResource[
               "FEBitmaps", "UpPointerOpenerHot"]]}, Dynamic[
              System`InformationDump`mouseOver$$]],
             Alignment->Left,
             Appearance->{"Default" -> None},
             
             ButtonFunction:>FEPrivate`Set[
              System`InformationDump`open$$, False],
             Evaluator->Automatic,
             FrameMargins->{{9, 0}, {0, 0}},
             ImageMargins->0,
             ImageSize->Full,
             Method->"Preemptive"],
            
            EventHandlerTag[{
             "MouseEntered" :> 
              FEPrivate`Set[System`InformationDump`mouseOver$$, True], 
              "MouseExited" :> 
              FEPrivate`Set[System`InformationDump`mouseOver$$, False], 
              Method -> "Preemptive", PassEventsDown -> Automatic, 
              PassEventsUp -> True}]],
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False], "\[SpanFromLeft]"}
        },
        AutoDelete->False,
        FrameStyle->Directive[
          GrayLevel[0.8], 
          Thickness[Tiny]],
        GridBoxAlignment->{"Columns" -> {Left, Right}, "Rows" -> {{Center}}},
        GridBoxDividers->{
         "Columns" -> {{None}}, "Rows" -> {False, {True}, False}},
        GridBoxItemSize->{
         "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}],
       "Grid"], False->
      TagBox[GridBox[{
         {
          ItemBox[
           PaneBox[
            StyleBox["\<\" Symbol\"\>", "InformationTitleText",
             StripOnInput->False],
            FrameMargins->{{4, 0}, {-1, 1}}],
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False], 
          ItemBox["\<\"\"\>",
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False]},
         {
          ItemBox[
           PaneBox[
            
            StyleBox["\<\"RunningCouplings[\\\"model\\\", q, opts] calculates \
the running couplings in model \\\"model\\\" at the scale q using options \
opts.\"\>", "InformationUsageText",
             StripOnInput->False,
             LineSpacing->{1.5, 1.5, 3.}],
            FrameMargins->{{10, 10}, {8, 10}}],
           BaseStyle->"InformationUsageSubtitleBackground",
           StripOnInput->False], 
          ItemBox["\<\"\"\>",
           BaseStyle->"InformationUsageSubtitleBackground",
           StripOnInput->False]},
         {
          ItemBox[
           TagBox[
            ButtonBox[
             PaneSelectorBox[{False->
              
              DynamicBox[FEPrivate`FrontEndResource[
               "FEBitmaps", "DownPointerOpener"],
               ImageSizeCache->{10., {2., 8.}}], True->
              
              DynamicBox[FEPrivate`FrontEndResource[
               "FEBitmaps", "DownPointerOpenerHot"],
               ImageSizeCache->{10., {2., 8.}}]}, Dynamic[
              System`InformationDump`mouseOver$$]],
             Alignment->Left,
             Appearance->{"Default" -> None},
             
             ButtonFunction:>FEPrivate`Set[
              System`InformationDump`open$$, True],
             Evaluator->Automatic,
             FrameMargins->{{9, 0}, {0, 0}},
             ImageMargins->0,
             ImageSize->Full,
             Method->"Preemptive"],
            
            EventHandlerTag[{
             "MouseEntered" :> 
              FEPrivate`Set[System`InformationDump`mouseOver$$, True], 
              "MouseExited" :> 
              FEPrivate`Set[System`InformationDump`mouseOver$$, False], 
              Method -> "Preemptive", PassEventsDown -> Automatic, 
              PassEventsUp -> True}]],
           BaseStyle->"InformationTitleBackground",
           StripOnInput->False], "\[SpanFromLeft]"}
        },
        AutoDelete->False,
        FrameStyle->Directive[
          GrayLevel[0.8], 
          Thickness[Tiny]],
        GridBoxAlignment->{"Columns" -> {Left, Right}, "Rows" -> {{Center}}},
        GridBoxDividers->{
         "Columns" -> {{None}}, "Rows" -> {False, {True}, False}},
        GridBoxItemSize->{
         "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}],
       "Grid"]}, Dynamic[System`InformationDump`open$$],
      BaselinePosition->Baseline,
      FrameMargins->0,
      ImageSize->Automatic],
     DynamicModuleValues:>{}],
    BaseStyle->"InformationGridFrame",
    StripOnInput->False], "InformationGridPlain",
   StripOnInput->False],
  InformationData[
   Association[
   "ObjectType" -> "Symbol", "Usage" -> 
    "RunningCouplings[\"model\", q, opts] calculates the running couplings in \
model \"model\" at the scale q using options opts.", "Documentation" -> None, 
    "OwnValues" -> None, "UpValues" -> None, "DownValues" -> 
    Information`InformationValueForm[
     DownValues, RunningCouplings`RunningCouplings, {
      RunningCouplings`RunningCouplings[{
          Pattern[RunningCouplings`Private`model, 
           Blank[]], "Values"}, 
         Pattern[RunningCouplings`Private`scale, 
          Blank[]], 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       With[{RunningCouplings`Private`couplings = 
          RunningCouplings`RunningCouplings[
           RunningCouplings`Private`model, RunningCouplings`Private`scale, 
            RunningCouplings`Private`opts]}, 
         With[{
          RunningCouplings`Private`pos = 
           Position[RunningCouplings`Private`couplings, 
             Blank[Around]]}, 
          ReplacePart[RunningCouplings`Private`couplings, 
           Thread[RunningCouplings`Private`pos -> ReplaceAll[
              Extract[
              RunningCouplings`Private`couplings, 
               RunningCouplings`Private`pos], 
              Pattern[RunningCouplings`Private`a, 
                Blank[Around]] :> RunningCouplings`Private`a["Value"]]]]]], 
       RunningCouplings`RunningCouplings[{
          Pattern[RunningCouplings`Private`model, 
           Blank[]], "Uncertainties"}, 
         Pattern[RunningCouplings`Private`scale, 
          Blank[]], 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       With[{RunningCouplings`Private`couplings = 
          RunningCouplings`RunningCouplings[
           RunningCouplings`Private`model, RunningCouplings`Private`scale, 
            RunningCouplings`Private`opts]}, 
         With[{
          RunningCouplings`Private`pos = 
           Position[RunningCouplings`Private`couplings, 
             Blank[Around]]}, 
          ReplacePart[RunningCouplings`Private`couplings, 
           Thread[RunningCouplings`Private`pos -> ReplaceAll[
              Extract[
              RunningCouplings`Private`couplings, 
               RunningCouplings`Private`pos], 
              Pattern[RunningCouplings`Private`a, 
                Blank[Around]] :> 
              RunningCouplings`Private`a["Uncertainty"]]]]]], 
       RunningCouplings`RunningCouplings[{
          Pattern[RunningCouplings`Private`model, 
           Blank[]], "Invervals"}, 
         Pattern[RunningCouplings`Private`scale, 
          Blank[]], 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       With[{RunningCouplings`Private`couplings = 
          RunningCouplings`RunningCouplings[
           RunningCouplings`Private`model, RunningCouplings`Private`scale, 
            RunningCouplings`Private`opts]}, 
         With[{
          RunningCouplings`Private`pos = 
           Position[RunningCouplings`Private`couplings, 
             Blank[Around]]}, 
          ReplacePart[RunningCouplings`Private`couplings, 
           Thread[RunningCouplings`Private`pos -> ReplaceAll[
              Extract[
              RunningCouplings`Private`couplings, 
               RunningCouplings`Private`pos], 
              Pattern[RunningCouplings`Private`a, 
                Blank[Around]] :> RunningCouplings`Private`a["Interval"]]]]]],
        RunningCouplings`RunningCouplings[{
          Pattern[RunningCouplings`Private`model, 
           Blank[]], "Ranges"}, 
         Pattern[RunningCouplings`Private`scale, 
          Blank[]], 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       With[{RunningCouplings`Private`couplings = 
          RunningCouplings`RunningCouplings[
           RunningCouplings`Private`model, RunningCouplings`Private`scale, 
            RunningCouplings`Private`opts]}, 
         With[{
          RunningCouplings`Private`pos = 
           Position[RunningCouplings`Private`couplings, 
             Blank[Around]]}, 
          ReplacePart[RunningCouplings`Private`couplings, 
           Thread[RunningCouplings`Private`pos -> ReplaceAll[
              Extract[
              RunningCouplings`Private`couplings, 
               RunningCouplings`Private`pos], 
              Pattern[RunningCouplings`Private`a, 
                Blank[Around]] :> MinMax[
                RunningCouplings`Private`a["Inverval"]]]]]]], 
       RunningCouplings`RunningCouplings["SM", "TopQuarkPoleMassScale", 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       RunningCouplings`Private`iRunningCouplings[{"SM", "SMDR"}, 
         "TopQuarkPoleMassScale", 
         FilterRules[{RunningCouplings`Private`opts}, 
          Options[RunningCouplings`Private`iRunningCouplings]]], 
       RunningCouplings`RunningCouplings[
         Pattern[RunningCouplings`Private`model, 
          Alternatives["SM", "MSSM"]], 
         PatternTest[
          Pattern[RunningCouplings`Private`scale, 
           Blank[]], NumericQ], 
         Pattern[RunningCouplings`Private`opts, 
          OptionsPattern[]]] :> 
       RunningCouplings`Private`iRunningCouplings[{
         RunningCouplings`Private`model, 
          ReplaceAll[
           OptionValue["RenormalizationMethod"], Automatic -> "NDSolve"]}, 
         RunningCouplings`Private`scale, 
         FilterRules[{RunningCouplings`Private`opts}, 
          Options[RunningCouplings`Private`iRunningCouplings]]]}], 
    "SubValues" -> None, "DefaultValues" -> 
    Information`InformationValueForm[
     DefaultValues, RunningCouplings`RunningCouplings, {
      SyntaxInformation[RunningCouplings`RunningCouplings] -> {
        "ArgumentsPattern" -> {
           Blank[], 
           Blank[], 
           OptionsPattern[]}, 
         "OptionNames" -> {
          "CKMParametrization", "ErrorTolerance", "FlavorMixing", 
           "LightestNeutrinoMass", "LoopOrder", "NeutrinoMassHierarchy", 
           "NeutrinoMassOperator", "PMNSParametrization", 
           "RenormalizationMethod", "SupersymmetryScale", "TanBeta", 
           "ThresholdUncertaintyFactor", AccuracyGoal, Compiled, 
           DependentVariables, DiscreteVariables, EvaluationMonitor, 
           InitialSeeding, InterpolationOrder, MaxStepFraction, MaxSteps, 
           MaxStepSize, Method, NormFunction, PrecisionGoal, StartingStepSize,
            StepMonitor, WorkingPrecision}}}], "NValues" -> None, 
    "FormatValues" -> None, 
    "Options" -> {
     "CKMParametrization" -> Automatic, "ErrorTolerance" -> Automatic, 
      "FlavorMixing" -> Automatic, "LightestNeutrinoMass" -> Automatic, 
      "LoopOrder" -> Automatic, "NeutrinoMassHierarchy" -> Automatic, 
      "NeutrinoMassOperator" -> Automatic, "PMNSParametrization" -> Automatic,
       "RenormalizationMethod" -> Automatic, "SupersymmetryScale" -> 
      Automatic, "TanBeta" -> Automatic, "ThresholdUncertaintyFactor" -> 
      Automatic, AccuracyGoal -> Automatic, Compiled -> Automatic, 
      DependentVariables -> Automatic, DiscreteVariables -> {}, 
      EvaluationMonitor -> None, InitialSeeding -> {}, InterpolationOrder -> 
      Automatic, MaxStepFraction -> Rational[1, 10], MaxSteps -> Automatic, 
      MaxStepSize -> Automatic, Method -> Automatic, NormFunction -> 
      Automatic, PrecisionGoal -> Automatic, StartingStepSize -> Automatic, 
      StepMonitor -> None, WorkingPrecision -> MachinePrecision}, 
    "Attributes" -> {}, "FullName" -> "RunningCouplings`RunningCouplings"], 
   False]]], "Print",
 CellTags->
  "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79",ExpressionUUID->"978b767f-2a93-\
4567-a2d4-175d57af049c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningCouplings", "[", 
  RowBox[{"\"\<SM\>\"", ",", " ", "\"\<TopQuarkPoleMassScale\>\""}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.809730911366983*^9, 3.8097309202434597`*^9}},
 CellLabel->"In[2]:=",ExpressionUUID->"8c2b6a9b-1c82-468e-9753-462265743297"],

Cell[BoxData[
 RowBox[{"\[LeftAssociation]", 
  RowBox[{
   RowBox[{"\<\"RenormalizationScheme\"\>", "\[Rule]", "\<\"MSbar\"\>"}], ",", 
   RowBox[{"\<\"RenormalizationScale\"\>", "\[Rule]", 
    "172.4000000000000056843`9."}], ",", 
   RowBox[{"\<\"g\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.647652", "0.000024", "0.000024"},
      "AroundAsym"],
     Around[
     0.6476520000000000055`6., {0.000024, 0.000024041630560342614`}]]}], ",", 
   
   RowBox[{"\<\"gp\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.358542", "0.000019", "0.000021"},
      "AroundAsym"],
     Around[
     0.3585420000000000273`6., {0.00001928730152198591, 
      0.000020518284528683193`}]]}], ",", 
   RowBox[{"\<\"g3\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"1.163", "0.005", "0.004"},
      "AroundAsym"],
     Around[
     1.1630529999999998925`7., {0.004512718249569764, 
      0.004486786154922029}]]}], ",", 
   RowBox[{"\<\"yt\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.931", "0.004", "0.004"},
      "AroundAsym"],
     Around[
     0.931031000000000053`6., {0.0039429807252889275`, 
      0.0039446353443632785`}]]}], ",", 
   RowBox[{"\<\"yc\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00339", "0.00010", "0.00010"},
      "AroundAsym"],
     Around[
     0.0033947999999999999`5., {0.00009625850611764137, 
      0.0000954945024595657}]]}], ",", 
   RowBox[{"\<\"yu\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"6.7", "0.8", "1.5", 
       SuperscriptBox["10", "-6"]},
      "AroundAsymExp"],
     Around[
     6.73940000000000022167215979473909`5.*^-6, {8.145078882368175*^-7, 
      1.5305052891120631`*^-6}]]}], ",", 
   RowBox[{"\<\"yb\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.01550", "0.00013", "0.00016"},
      "AroundAsym"],
     Around[
     0.0155040000000000004`5., {0.0001288603895694872, 
      0.00016154875425084526`}]]}], ",", 
   RowBox[{"\<\"ys\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.000292", "0.000016", "0.000035"},
      "AroundAsym"],
     Around[
     0.00029166`5., {0.000015997440420267238`, 0.00003464181577227152}]]}], 
   ",", 
   RowBox[{"\<\"yd\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00001", "465", "056", "151"},
      "AroundAsymSeq"],
     Around[
     0.00001464600000000000004239577439113518`5., {5.562364605093773*^-7, 
      1.5131724951240688`*^-6}]]}], ",", 
   RowBox[{"\<\"ytau\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.009994", "4", "7", "7"},
      "AroundAsymSeq"],
     Around[
     0.0099944000000000005`6., {6.832276341015489*^-7, 
      6.828616258071617*^-7}]]}], ",", 
   RowBox[{"\<\"ymu\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00058837", "80", "64", "26"},
      "AroundAsymSeq"],
     Around[
     0.000588378`6., {6.403124237432849*^-9, 2.6457513110645907`*^-9}]]}], 
   ",", 
   RowBox[{"\<\"ye\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"2.792970", "0.000026", "0.000020", 
       SuperscriptBox["10", "-6"]},
      "AroundAsymExp"],
     Around[
     2.79296999999999978983068749105456`6.*^-6, {2.6457513110645906`*^-11, 
      2.*^-11}]]}], ",", 
   RowBox[{"\<\"lambda\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.12607", "0.00029", "0.00029"},
      "AroundAsym"],
     Around[
     0.1260709999999999886`6., {0.00028884251764586187`, 
      0.000288704000665041}]]}], ",", 
   RowBox[{"\<\"m2\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"-8612.", "23.", "23."},
      "AroundAsym"],
     Around[-8611.7865149999997811392`10., {22.8011302732829, 
      22.6646293535023}]]}], ",", 
   RowBox[{"\<\"v\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"246.6045", "0.0034", "0.0034"},
      "AroundAsym"],
     Around[
     246.6044939999999883185`9., {0.0034275890943927336`, 
      0.0033661513632039786`}]]}], ",", 
   RowBox[{"\<\"Lambda\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"1.2340", "0.0028", "0.0028", 
       SuperscriptBox["10", "8"]},
      "AroundAsymExp"],
     Around[
     1.233980391398569941520690918`15.*^8, {278536.9373122698, 
      279254.1667463021}]]}]}], "\[RightAssociation]"}]], "Output",
 CellChangeTimes->{3.809731655423098*^9, 3.809764192851033*^9, 
  3.809765008294992*^9},
 CellLabel->"Out[2]=",ExpressionUUID->"46039160-4757-4462-bd75-5be879126952"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningCouplings", "[", "\[IndentingNewLine]", 
  RowBox[{"\"\<MSSM\>\"", ",", "\[IndentingNewLine]", 
   RowBox[{"10", "^", "7"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<LightestNeutrinoMass\>\"", "\[Rule]", 
    RowBox[{"10", "^", 
     RowBox[{"-", "12"}]}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<NeutrinoMassHierarchy\>\"", "\[Rule]", "\"\<Normal\>\""}], 
   ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<NeutrinoMassOperator\>\"", "\[Rule]", "\"\<Dirac\>\""}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
    RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.7759137907664003`*^9, 3.775913850592823*^9}, 
   3.7759145462402983`*^9, {3.7759145962962513`*^9, 3.775914609879929*^9}},
 CellLabel->"In[3]:=",ExpressionUUID->"73e241ee-9cf6-46f3-a165-205dfa421c46"],

Cell[BoxData[
 RowBox[{"\[LeftAssociation]", 
  RowBox[{
   RowBox[{"\<\"RenormalizationScheme\"\>", "\[Rule]", "\<\"DRbar\"\>"}], ",", 
   RowBox[{"\<\"RenormalizationScale\"\>", "\[Rule]", "10000000"}], ",", 
   RowBox[{"\<\"SupersymmetryScale\"\>", "\[Rule]", "10000"}], ",", 
   RowBox[{"\<\"TanBeta\"\>", "\[Rule]", "10"}], ",", 
   RowBox[{"\<\"g1\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.5085", "0.0015", "0.0015"},
      "AroundAsym"],
     Around[
     0.5085196629136865543`6., {0.0015113550040879485`, 
      0.0015315499662661926`}]]}], ",", 
   RowBox[{"\<\"g2\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.641", "0.005", "0.005"},
      "AroundAsym"],
     Around[
     0.6405170785993015148`6., {0.004925622483886171, 
      0.005056166505189472}]]}], ",", 
   RowBox[{"\<\"g3\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.858", "0.013", "0.014"},
      "AroundAsym"],
     Around[
     0.8584249325144380771`6., {0.013358281162286231`, 
      0.013872278085195575`}]]}], ",", 
   RowBox[{"\<\"yu\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"4.8", "0.6", "1.1", 
       SuperscriptBox["10", "-6"]},
      "AroundAsymExp"],
     Around[
     4.79014169716984116950426325631796`5.*^-6, {5.825795295732491*^-7, 
      1.0656103547067928`*^-6}]]}], ",", 
   RowBox[{"\<\"yc\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00218", "0.00007", "0.00007"},
      "AroundAsym"],
     Around[
     0.0021781873084416761`5., {0.00007466215441998385, 
      0.00007371396498473356}]]}], ",", 
   RowBox[{"\<\"yt\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.690", "0.013", "0.013"},
      "AroundAsym"],
     Around[
     0.6896351262657730574`6., {0.013011569455140058`, 
      0.013470208999531186`}]]}], ",", 
   RowBox[{"\<\"yd\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00009", "2", "4", "0"},
      "AroundAsymSeq"],
     Around[
     0.0000924175155331538`4., {3.892821857885571*^-6, 
      9.828813222491405*^-6}]]}], ",", 
   RowBox[{"\<\"ys\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00184", "0.00011", "0.00022"},
      "AroundAsym"],
     Around[
     0.0018403700562539906`5., {0.00010838799056433649`, 
      0.00022423879502895017`}]]}], ",", 
   RowBox[{"\<\"yb\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.0974", "0.0013", "0.0014"},
      "AroundAsym"],
     Around[
     0.0973926520629708886`4., {0.0012527426486848633`, 
      0.0014121968780009184`}]]}], ",", 
   RowBox[{"\<\"ye\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.000026", "77", "28", "27"},
      "AroundAsymSeq"],
     Around[
     0.00002677213652942160866513889028173168`6., {2.783720229593781*^-7, 
      2.6652696990222705`*^-7}]]}], ",", 
   RowBox[{"\<\"ymu\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.00564", "0.00006", "0.00006"},
      "AroundAsym"],
     Around[
     0.0056399554558694441`6., {0.00005870004026174818, 
      0.00005609152106554608}]]}], ",", 
   RowBox[{"\<\"ytau\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"0.0959", "0.0010", "0.0009"},
      "AroundAsym"],
     Around[
     0.095923104052902039`6., {0.000988094347835802, 
      0.0009432735026513799}]]}], ",", 
   RowBox[{"\<\"y1\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"6.017", "0.009", "0.021", 
       SuperscriptBox["10", "-15"]},
      "AroundAsymExp"],
     Around[
     6.01720689938930922343313`8.*^-15, {9.362278726537425*^-18, 
      2.104298847510613*^-17}]]}], ",", 
   RowBox[{"\<\"y2\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"5.22", "0.21", "0.23", 
       SuperscriptBox["10", "-14"]},
      "AroundAsymExp"],
     Around[
     5.218954858515900403630626`3.*^-14, {2.0703136245555436`*^-15, 
      2.2527130547267525`*^-15}]]}], ",", 
   RowBox[{"\<\"y3\"\>", "\[Rule]", 
    InterpretationBox[
     TemplateBox[{"3.02", "0.05", "0.05", 
       SuperscriptBox["10", "-13"]},
      "AroundAsymExp"],
     Around[
     3.0229053277490364350134351`4.*^-13, {5.138718241605651*^-15, 
      5.115939108329422*^-15}]]}], ",", 
   RowBox[{"\<\"CKM\"\>", "\[Rule]", 
    RowBox[{"\[LeftAssociation]", 
     RowBox[{
      RowBox[{"\<\"Parametrization\"\>", "\[Rule]", "\<\"Wolfenstein\"\>"}], 
      ",", 
      RowBox[{"\<\"Lambda\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.22654", "0.00034", "0.0011"},
         "AroundAsym"],
        Around[
        0.2265377813164820009`5., {0.00033522180180416974`, 
         0.0011269743908843945`}]]}], ",", 
      RowBox[{"\<\"A\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.732", "0.029", "0.018"},
         "AroundAsym"],
        Around[
        0.7318042920418901254`3., {0.029031770851174754`, 
         0.018138441123474718`}]]}], ",", 
      RowBox[{"\<\"RhoBar\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.169", "0.019", "0.04"},
         "AroundAsym"],
        Around[
        0.168878796593209507`3., {0.019129407864263787`, 
         0.03848720690285539}]]}], ",", 
      RowBox[{"\<\"EtaBar\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.361", "0.026", "0.027"},
         "AroundAsym"],
        Around[
        0.3607559927116441023`3., {0.025935709703478995`, 
         0.026852223848866538`}]]}]}], "\[RightAssociation]"}]}], ",", 
   RowBox[{"\<\"PMNS\"\>", "\[Rule]", 
    RowBox[{"\[LeftAssociation]", 
     RowBox[{
      RowBox[{"\<\"Parametrization\"\>", "\[Rule]", "\<\"Standard\"\>"}], ",", 
      RowBox[{"\<\"Theta12\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.58", "0.04", "0.04"},
         "AroundAsym"],
        Around[
        0.5845333291939533993`4., {0.03791572245508948, 
         0.04244860092988832}]]}], ",", 
      RowBox[{"\<\"Theta23\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.85", "0.16", "0.05"},
         "AroundAsym"],
        Around[
        0.8548135785783189666`3., {0.16423784675123487`, 
         0.0489013809595016}]]}], ",", 
      RowBox[{"\<\"Theta13\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"0.150", "0.007", "0.007"},
         "AroundAsym"],
        Around[
        0.1499559427767791497`3., {0.0069789940001922625`, 
         0.0065118005895175}]]}], ",", 
      RowBox[{"\<\"Delta\"\>", "\[Rule]", 
       InterpretationBox[
        TemplateBox[{"3.40", "3.1", "0."},
         "AroundAsym"],
        Around[3.3999346519814119816`3., {3.0607795061977563`, 0.}]]}]}], 
     "\[RightAssociation]"}]}]}], "\[RightAssociation]"}]], "Output",
 CellChangeTimes->{
  3.775913862781515*^9, 3.775914558941741*^9, {3.775914597142974*^9, 
   3.7759146102139883`*^9}, 3.809291882757633*^9, 3.809724274790539*^9, 
   3.8097266939255247`*^9, 3.809764768712302*^9, 3.809765024406563*^9},
 CellLabel->"Out[3]=",ExpressionUUID->"35691adc-782b-403b-8f67-1421b4530429"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningGaugeCoupling", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"\"\<MSSM\>\"", ",", " ", "3"}], "}"}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"10", "^", "12"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
    RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.733158189954377*^9, 3.733158193434064*^9}, {
  3.77404781325196*^9, 3.774047845376008*^9}, {3.774047897790957*^9, 
  3.774047937061762*^9}, {3.774048648621526*^9, 3.7740486629523287`*^9}, {
  3.775932857035842*^9, 3.775932858825872*^9}, {3.776080251183447*^9, 
  3.776080269669023*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"339aab9a-49aa-468a-ad78-2d54c1e44643"],

Cell[BoxData[
 InterpretationBox[
  TemplateBox[{"0.749", "0.009", "0.009"},
   "AroundAsym"],
  Around[0.748782737962984557`6., {0.008957857647843839, 
   0.00922410520521601}]]], "Output",
 CellChangeTimes->{
  3.733158195970687*^9, {3.774047930867235*^9, 3.77404793819554*^9}, 
   3.774048665962319*^9, 3.774048813624531*^9, 3.775932866480901*^9, 
   3.776080220620892*^9, {3.776080257192075*^9, 3.7760802701437273`*^9}, 
   3.7761671456340847`*^9, 3.809291903514036*^9, 3.809292103509056*^9, 
   3.809765062782321*^9},
 CellLabel->"Out[4]=",ExpressionUUID->"1e71a404-dadb-4a97-bbbc-10543f18f3f8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"RunningGaugeCoupling", "[", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"\"\<MSSM\>\"", ",", " ", "3"}], "}"}], ",", 
     "\[IndentingNewLine]", 
     RowBox[{"10", "^", "x"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
      RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"{", 
      RowBox[{"10", ",", "12", ",", "14"}], "}"}]}], "}"}]}], 
  "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.80929253314192*^9, 3.809292560400457*^9}},
 CellLabel->"In[5]:=",ExpressionUUID->"b7dcaaef-a382-44b6-ae32-7a7ca9c8846e"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   InterpretationBox[
    TemplateBox[{"0.787", "0.010", "0.011"},
     "AroundAsym"],
    Around[
    0.7874239246040644069`6., {0.010379265029710899`, 
     0.010718988851830282`}]], ",", 
   InterpretationBox[
    TemplateBox[{"0.749", "0.009", "0.009"},
     "AroundAsym"],
    Around[
    0.748782737962984557`6., {0.008957857647843839, 0.00922410520521601}]], 
   ",", 
   InterpretationBox[
    TemplateBox[{"0.715", "0.008", "0.008"},
     "AroundAsym"],
    Around[
    0.7153011662718636865`6., {0.007833323249545082, 
     0.008048971878439809}]]}], "}"}]], "Output",
 CellChangeTimes->{3.8092925712858458`*^9, 3.809765064780033*^9},
 CellLabel->"Out[5]=",ExpressionUUID->"92e14677-a5fb-4cf5-9129-d87f29457488"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningGaugeCoupling", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "3"}], "}"}], ",", "scale"}], "]"}], 
      "[", "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningGaugeCoupling", "[", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "3"}], "}"}], ",", "scale"}], "]"}], 
       "[", "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", 
     "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningGaugeCoupling", "[", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "3"}], "}"}], ",", "scale"}], "]"}], 
       "[", "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]",
     "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "10"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(g\), \(3\)]\)\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.4", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.4", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.4", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775908501990477*^9, 3.775908512694672*^9}, {
  3.7759085457678223`*^9, 3.775908551797718*^9}, {3.775908605726335*^9, 
  3.7759086090376863`*^9}, {3.775908645641026*^9, 3.775908716508709*^9}, {
  3.7759135901140213`*^9, 3.775913668790669*^9}, {3.7759143646110907`*^9, 
  3.7759143845906067`*^9}, {3.7759325154599323`*^9, 3.7759325273669157`*^9}, {
  3.776078506579813*^9, 3.776078588783662*^9}, {3.7760789341550694`*^9, 
  3.776078934464314*^9}, {3.776080144482664*^9, 3.776080166497415*^9}, {
  3.776080201836269*^9, 3.776080214931767*^9}, {3.7760802657257347`*^9, 
  3.776080279813549*^9}},
 CellLabel->"In[6]:=",ExpressionUUID->"8df1adea-6374-44b5-919f-a828cadcd504"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxN1nk8VXkDx3EaXEWyZCKt3MclXOs9kqnfz5a0MFEjogaTjOxS5moZ2d1r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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.416394, 0.555345, 0.24182], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[
        PolygonBox[{{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84,
          85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
         101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
          115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 
         143, 138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136,
          152, 146, 141, 153, 147, 154, 127, 204, 231, 224, 230, 218, 223, 
         229, 213, 217, 222, 228, 209, 212, 216, 221, 227, 206, 208, 211, 215,
          220, 226, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 
         192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179,
          178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 
         165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 205, 207, 210, 214,
          219, 225, 155}}]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.416394, 0.555345, 0.24182], AbsoluteThickness[1.6], 
        Opacity[1.], 
        LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
         12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
         29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 
         46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 68, 
         63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$39417#1"]& ], 
      TagBox[
       {RGBColor[0.416394, 0.555345, 0.24182], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84, 85,
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 
         102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
          116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 143, 
         138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136, 152,
          146, 141, 153, 147, 154, 127}]},
       Annotation[#, "Charting`Private`Tag$39417#2"]& ], 
      TagBox[
       {RGBColor[0.416394, 0.555345, 0.24182], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{155, 225, 219, 214, 210, 207, 205, 156, 157, 158, 159, 160, 
         161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
          175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 
         188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201,
          202, 203, 226, 220, 215, 211, 208, 206, 227, 221, 216, 212, 209, 
         228, 222, 217, 213, 229, 223, 218, 230, 224, 231, 204}]},
       Annotation[#, "Charting`Private`Tag$39417#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512925464970229`, 0.7770446658860123},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(g\\), \\(3\\)]\\)\"", TraditionalForm], 
     None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{11.512925464970229`, 
        FormBox[
         TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{"10", "7"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{"10", "9"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       9.903487552536127, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.308952660644293`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.596634733096073`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.819778284410283`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.002099841204238`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.156250521031495`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.289781913656018`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.407564949312402`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.206072645530174`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.611537753638338`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.89921982609012, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.122363377404328`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.304684934198283`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.458835614025542`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.592367006650065`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.710150042306449`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       14.508657738524219`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       14.914122846632385`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.201804919084164`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.424948470398375`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.60727002719233, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.761420707019587`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.89495209964411, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.012735135300492`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.811242831518264`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.216707939626428`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.50439001207821, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.72753356339242, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.909855120186375`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.064005800013632`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.197537192638155`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.31532022829454, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.11382792451231, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.519293032620475`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.806975105072254`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.030118656386467`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.21244021318042, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.36659089300768, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.5001222856322, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.617905321288585`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       21.416413017506358`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       21.82187812561452, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.1095601980663, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.33270374938051, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.515025306174465`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.669175986001726`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.80270737862625, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.920490414282632`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       23.7189981105004, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.124463218608568`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.412145291060348`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.635288842374557`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.81761039916851, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.97176107899577, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.10529247162029, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.223075507276675`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       9.903487552536127, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.308952660644293`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.596634733096073`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       10.819778284410283`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.002099841204238`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.156250521031495`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.289781913656018`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.407564949312402`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.206072645530174`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.611537753638338`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       12.89921982609012, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.122363377404328`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.304684934198283`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.458835614025542`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.592367006650065`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       13.710150042306449`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       14.508657738524219`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       14.914122846632385`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.201804919084164`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.424948470398375`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.60727002719233, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.761420707019587`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       15.89495209964411, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.012735135300492`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.811242831518264`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.216707939626428`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.50439001207821, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.72753356339242, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       17.909855120186375`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.064005800013632`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.197537192638155`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       18.31532022829454, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.11382792451231, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.519293032620475`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       19.806975105072254`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.030118656386467`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.21244021318042, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.36659089300768, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.5001222856322, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.617905321288585`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       21.416413017506358`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       21.82187812561452, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.1095601980663, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.33270374938051, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.515025306174465`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.669175986001726`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.80270737862625, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       22.920490414282632`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       23.7189981105004, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.124463218608568`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.412145291060348`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.635288842374557`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.81761039916851, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       24.97176107899577, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.10529247162029, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.223075507276675`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->NCache[{{
      Log[100000], 
      Log[10000000000]}, {0.7770446658860123, 0.9348364353453384}}, {{
    11.512925464970229`, 23.025850929940457`}, {0.7770446658860123, 
    0.9348364353453384}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{
  3.77591439769342*^9, {3.775932520732396*^9, 3.775932527738386*^9}, {
   3.776080157831759*^9, 3.776080185724122*^9}, 3.7760802888697643`*^9, 
   3.7761671282775507`*^9, 3.8092921181966753`*^9, 3.809292235209331*^9, 
   3.8097650833718443`*^9},
 CellLabel->"Out[6]=",ExpressionUUID->"43fedeb5-f0bb-4593-a57b-eebd72c00534"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"\"\<MSSM\>\"", ",", "\"\<U\>\"", ",", "3"}], "}"}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"10", "^", "12.5"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
    RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.774048841569367*^9, 3.7740488417368813`*^9}, {
  3.774049058969872*^9, 3.7740490826055*^9}, {3.774049412283712*^9, 
  3.774049412689806*^9}, {3.7740500013785877`*^9, 3.774050002104806*^9}, {
  3.775908473666247*^9, 3.775908473983054*^9}, {3.775992691183526*^9, 
  3.775992691433845*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"5841a61f-273c-46b9-961a-2bd53477a8fa"],

Cell[BoxData[
 InterpretationBox[
  TemplateBox[{"0.583", "0.013", "0.014"},
   "AroundAsym"],
  Around[0.58310547106382149`6., {0.01303700042160208, 
   0.013796117198861452`}]]], "Output",
 CellChangeTimes->{
  3.774048842999701*^9, {3.7740490784209843`*^9, 3.774049083724999*^9}, {
   3.774049407048629*^9, 3.7740494138869*^9}, {3.7740499909816847`*^9, 
   3.7740500036533213`*^9}, 3.775908336819722*^9, 3.775908474552785*^9, 
   3.775992696453964*^9, 3.7760803095604477`*^9, 3.809765132674118*^9},
 CellLabel->"Out[7]=",ExpressionUUID->"01c121b0-053a-4990-8b50-370d174b427e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "\"\<U\>\"", ",", "3"}], "}"}], ",", 
        "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<U\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<U\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(y\), \(t\)]\)\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775908501990477*^9, 3.775908512694672*^9}, {
  3.7759085457678223`*^9, 3.775908551797718*^9}, {3.775908605726335*^9, 
  3.7759086090376863`*^9}, {3.775908645641026*^9, 3.775908716508709*^9}, {
  3.7759135901140213`*^9, 3.775913668790669*^9}, {3.7759925739193172`*^9, 
  3.775992606406435*^9}, {3.7759927315680323`*^9, 3.775992735158463*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"f6298388-75b3-4ca3-93e2-fcb10c6cb5ee"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxF1mk81dkfwHFDZCxZ6k6hLrLLUGSLnONesqRLSrt9klCWkEmKEZOMnSRb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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.237736, 0.340215, 0.575113], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[
        PolygonBox[{{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84,
          85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
         101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
          115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 
         143, 138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136,
          152, 146, 141, 153, 147, 154, 127, 204, 231, 224, 230, 218, 223, 
         229, 213, 217, 222, 228, 209, 212, 216, 221, 227, 206, 208, 211, 215,
          220, 226, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 
         192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179,
          178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 
         165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 205, 207, 210, 214,
          219, 225, 155}}]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.237736, 0.340215, 0.575113], AbsoluteThickness[1.6], 
        Opacity[1.], 
        LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
         12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
         29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 
         46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 68, 
         63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$51202#1"]& ], 
      TagBox[
       {RGBColor[0.237736, 0.340215, 0.575113], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84, 85,
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 
         102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
          116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 143, 
         138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136, 152,
          146, 141, 153, 147, 154, 127}]},
       Annotation[#, "Charting`Private`Tag$51202#2"]& ], 
      TagBox[
       {RGBColor[0.237736, 0.340215, 0.575113], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{155, 225, 219, 214, 210, 207, 205, 156, 157, 158, 159, 160, 
         161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
          175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 
         188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201,
          202, 203, 226, 220, 215, 211, 208, 206, 227, 221, 216, 212, 209, 
         228, 222, 217, 213, 229, 223, 218, 230, 224, 231, 204}]},
       Annotation[#, "Charting`Private`Tag$51202#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512925464970229`, 0.46213593930468716`},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(y\\), \\(t\\)]\\)\"", TraditionalForm], 
     None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->NCache[{{
      Log[100000], 
      Log[100000000000000000]}, {0.46213593930468716`, 
     0.7569680872939379}}, {{11.512925464970229`, 39.14394658089878}, {
    0.46213593930468716`, 0.7569680872939379}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{
  3.7759085153563766`*^9, 3.775908552170744*^9, 3.775908609629519*^9, 
   3.775908656997106*^9, {3.775908687329528*^9, 3.775908716950779*^9}, {
   3.7759136622691107`*^9, 3.775913678099024*^9}, 3.775992621632784*^9, 
   3.775992735602392*^9, 3.776080331787716*^9, 3.809765144015623*^9},
 CellLabel->"Out[8]=",ExpressionUUID->"0d85c367-b9f8-476c-8044-c5417d0ab140"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "\"\<E\>\"", ",", "3"}], "}"}], ",", 
        "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<E\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<E\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(y\), \(\[Tau]\)]\)\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.7", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.7", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.7", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775908501990477*^9, 3.775908512694672*^9}, {
  3.7759085457678223`*^9, 3.775908551797718*^9}, {3.775908605726335*^9, 
  3.7759086090376863`*^9}, {3.775908645641026*^9, 3.775908716508709*^9}, {
  3.7759135901140213`*^9, 3.775913668790669*^9}, {3.7759925739193172`*^9, 
  3.775992649659841*^9}, {3.775992721176725*^9, 3.775992749093568*^9}},
 CellLabel->"In[9]:=",ExpressionUUID->"f009c95b-49f7-41fc-919f-747e190e32e6"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxF1ns4VVkfwHF3EYnRJJfXNEzHnZCSWMvZNSJRBxWhxv1OuWQyRFGkhNG4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    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.877875, 0.731045, 0.326896], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[
        PolygonBox[{{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84,
          85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
         101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
          115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 
         143, 138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136,
          152, 146, 141, 153, 147, 154, 127, 204, 231, 224, 230, 218, 223, 
         229, 213, 217, 222, 228, 209, 212, 216, 221, 227, 206, 208, 211, 215,
          220, 226, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 
         192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179,
          178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 
         165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 205, 207, 210, 214,
          219, 225, 155}}]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.877875, 0.731045, 0.326896], AbsoluteThickness[1.6], 
        Opacity[1.], 
        LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
         12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
         29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 
         46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 68, 
         63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$51840#1"]& ], 
      TagBox[
       {RGBColor[0.877875, 0.731045, 0.326896], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84, 85,
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 
         102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
          116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 143, 
         138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136, 152,
          146, 141, 153, 147, 154, 127}]},
       Annotation[#, "Charting`Private`Tag$51840#2"]& ], 
      TagBox[
       {RGBColor[0.877875, 0.731045, 0.326896], AbsoluteThickness[1.6], 
        Opacity[0.5], 
        LineBox[{155, 225, 219, 214, 210, 207, 205, 156, 157, 158, 159, 160, 
         161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
          175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 
         188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201,
          202, 203, 226, 220, 215, 211, 208, 206, 227, 221, 216, 212, 209, 
         228, 222, 217, 213, 229, 223, 218, 230, 224, 231, 204}]},
       Annotation[#, "Charting`Private`Tag$51840#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512925464970229`, 0.07162103090708655},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(y\\), \\(\[Tau]\\)]\\)\"", TraditionalForm], 
     None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->NCache[{{
      Log[100000], 
      Log[100000000000000000]}, {0.07162103090708655, 
     0.10134591663296402`}}, {{11.512925464970229`, 39.14394658089878}, {
    0.07162103090708655, 0.10134591663296402`}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{{3.775992634891221*^9, 3.775992650039814*^9}, {
   3.775992724303287*^9, 3.775992749451799*^9}, 3.809765154782048*^9},
 CellLabel->"Out[9]=",ExpressionUUID->"a9228634-f1c4-4cbb-992c-9635b14de2e5"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "\"\<V\>\"", ",", "3"}], "}"}], ",", 
        "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<V\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningYukawaCoupling", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<V\>\"", ",", "3"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "10"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(y\), \(3\)]\)\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775908501990477*^9, 3.775908512694672*^9}, {
  3.7759085457678223`*^9, 3.775908551797718*^9}, {3.775908605726335*^9, 
  3.7759086090376863`*^9}, {3.775908645641026*^9, 3.775908716508709*^9}, {
  3.7759135901140213`*^9, 3.775913668790669*^9}, {3.7759925739193172`*^9, 
  3.775992649659841*^9}, {3.7759927142886066`*^9, 3.775992716102231*^9}, {
  3.7759927551097507`*^9, 3.775992787139564*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"8ac1b414-8912-4f25-b1c5-d21eff3e5423"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxN1n08VPkewHE7WhIqTz2hTClhTEIaDz9+M2Sry4x1fqf2qvUwtiTCekqL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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.264425, 0.423024, 0.3849], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[
        PolygonBox[{{60, 110, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 
         73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 
         90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105,
          106, 107, 108, 111, 109, 161, 163, 160, 159, 158, 157, 156, 155, 
         154, 153, 152, 151, 150, 149, 148, 147, 146, 145, 144, 143, 142, 141,
          140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 
         127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114,
          113, 162, 112}}]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        1.], LineBox[{1, 51, 2, 3, 4, 5, 52, 6, 59, 58, 57, 56, 55, 53, 7, 8, 
         9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 
         26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 
         43, 44, 45, 46, 47, 48, 49, 54, 50}]},
       Annotation[#, "Charting`Private`Tag$65009#1"]& ], 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        0.5], 
        LineBox[{60, 110, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 
         74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 
         91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 
         106, 107, 108, 111, 109}]},
       Annotation[#, "Charting`Private`Tag$65009#2"]& ], 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        0.5], LineBox[{112, 162, 113, 114, 115, 116, 117, 118, 119, 120, 121, 
         122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135,
          136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 
         149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 163, 
         161}]},
       Annotation[#, "Charting`Private`Tag$65009#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512925464970229`, 2.757752005208383*^-13},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(y\\), \\(3\\)]\\)\"", TraditionalForm], 
     None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->NCache[{{
      Log[100000], 
      Log[100000000000000000]}, {2.757752005208383*^-13, 
     3.075193243410681*^-13}}, {{11.512925464970229`, 39.14394658089878}, {
    2.757752005208383*^-13, 3.075193243410681*^-13}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{{3.775992793351534*^9, 3.7759927998042793`*^9}, 
   3.809765179843047*^9},
 CellLabel->"Out[10]=",ExpressionUUID->"d8b60836-b4a6-4cb3-9411-8550a4bb9233"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningWeinbergOperator", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "2"}], "}"}], ",", 
        "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningWeinbergOperator", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "2"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningWeinbergOperator", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "2"}], "}"}], ",", 
         "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(\[Kappa]\), \(3\)]\) \
[\!\(\*SuperscriptBox[\(GeV\), \(\(\\\ \)\(-1\)\)]\)]\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.2", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775908501990477*^9, 3.775908512694672*^9}, {
  3.7759085457678223`*^9, 3.775908551797718*^9}, {3.775908605726335*^9, 
  3.7759086090376863`*^9}, {3.775908645641026*^9, 3.775908716508709*^9}, {
  3.7759135901140213`*^9, 3.775913668790669*^9}, {3.7759925739193172`*^9, 
  3.775992649659841*^9}, {3.7759927142886066`*^9, 3.775992716102231*^9}, {
  3.7759927551097507`*^9, 3.775992787139564*^9}, {3.7759928635151873`*^9, 
  3.775992883303195*^9}, {3.7759963251577587`*^9, 3.775996358996667*^9}, {
  3.776033290344983*^9, 3.776033295446598*^9}, {3.776033354615788*^9, 
  3.776033367435783*^9}},
 CellLabel->"In[11]:=",ExpressionUUID->"22993c5f-f1c8-4b46-bffb-1339a042a641"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJw91nlcDtsfB/A80fKItElRStFKKT1ZTrdTkzZ+7f1arlwX2SqR8uJGlrht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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.264425, 0.423024, 0.3849], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[
        PolygonBox[{{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 84,
          85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
         101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
          115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 
         143, 138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136,
          152, 146, 141, 153, 147, 154, 127, 204, 231, 224, 230, 218, 223, 
         229, 213, 217, 222, 228, 209, 212, 216, 221, 227, 206, 208, 211, 215,
          220, 226, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194, 193, 
         192, 191, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179,
          178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 
         165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 205, 207, 210, 214,
          219, 225, 155}}]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        1.], LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
         11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 
         28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 
         45, 46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 
         68, 63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$74650#1"]& ], 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        0.5], LineBox[{78, 148, 142, 137, 133, 130, 128, 79, 80, 81, 82, 83, 
         84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
         101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114,
          115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 149, 
         143, 138, 134, 131, 129, 150, 144, 139, 135, 132, 151, 145, 140, 136,
          152, 146, 141, 153, 147, 154, 127}]},
       Annotation[#, "Charting`Private`Tag$74650#2"]& ], 
      TagBox[
       {RGBColor[0.264425, 0.423024, 0.3849], AbsoluteThickness[1.6], Opacity[
        0.5], 
        LineBox[{155, 225, 219, 214, 210, 207, 205, 156, 157, 158, 159, 160, 
         161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
          175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 
         188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201,
          202, 203, 226, 220, 215, 211, 208, 206, 227, 221, 216, 212, 209, 
         228, 222, 217, 213, 229, 223, 218, 230, 224, 231, 204}]},
       Annotation[#, "Charting`Private`Tag$74650#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512925464970229`, 2.750488797220767*^-16},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(\[Kappa]\\), \\(3\\)]\\) \
[\\!\\(\\*SuperscriptBox[\\(GeV\\), \\(\\(\\\\ \\)\\(-1\\)\\)]\\)]\"", 
      TraditionalForm], None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->NCache[{{
      Log[100000], 
      Log[100000000000000000]}, {2.750488797220767*^-16, 
     3.3527717026886343`*^-16}}, {{11.512925464970229`, 39.14394658089878}, {
    2.750488797220767*^-16, 3.3527717026886343`*^-16}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{{3.775992885669395*^9, 3.7759928885084343`*^9}, {
   3.775996345938744*^9, 3.775996364842328*^9}, 3.776033123194923*^9, 
   3.776033297645043*^9, {3.776033355592723*^9, 3.77603336810992*^9}, 
   3.8097652046273623`*^9},
 CellLabel->"Out[11]=",ExpressionUUID->"52d99d1e-38e1-466d-bd69-63e13e8e4bb6"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"\"\<MSSM\>\"", ",", "\"\<CKM\>\"", ",", "\"\<A\>\""}], "}"}], 
   ",", "\[IndentingNewLine]", 
   RowBox[{"10", "^", "16"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
    RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775913939922827*^9, 3.775913940608491*^9}, {
  3.7759327107498417`*^9, 3.775932726750709*^9}, {3.775932768073545*^9, 
  3.775932768373774*^9}, {3.7759328747236967`*^9, 3.775932877385103*^9}, {
  3.775957806792759*^9, 3.77595783715173*^9}, {3.7759578706758842`*^9, 
  3.775957871474042*^9}, {3.775989145995027*^9, 3.775989174319191*^9}, {
  3.775989479634513*^9, 3.775989482738223*^9}, {3.776033059764255*^9, 
  3.776033069858341*^9}, {3.776183536139163*^9, 3.776183552432971*^9}},
 CellLabel->"In[12]:=",ExpressionUUID->"c819d826-2a17-4129-ac03-7a1d0961e580"],

Cell[BoxData[
 InterpretationBox[
  TemplateBox[{"0.636", "0.025", "0.016"},
   "AroundAsym"],
  Around[0.6359320479812321514`3., {0.025358380063881122`, 
   0.01644251591637568}]]], "Output",
 CellChangeTimes->{3.7761837461825323`*^9, 3.809765208328113*^9},
 CellLabel->"Out[12]=",ExpressionUUID->"7e2139c9-9874-4da5-9107-3b1737c8893c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"\"\<MSSM\>\"", ",", "\"\<CKM\>\"", ",", "\"\<A\>\""}], 
         "}"}], ",", "\[IndentingNewLine]", "scale", ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<CKM\>\"", ",", "\"\<A\>\""}], 
          "}"}], ",", "\[IndentingNewLine]", "scale", ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"\"\<MSSM\>\"", ",", "\"\<CKM\>\"", ",", "\"\<A\>\""}], 
          "}"}], ",", "\[IndentingNewLine]", "scale", ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"\"\<renormalization scale [GeV]\>\"", ",", "\"\<A\>\""}], 
     "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQA2IQ/Xfj/qCfim8cD1qJhYBohkkWESD6RdtPMK1stz0e
RO8yUUwA0Z7NW1JAdIT7hFwQLbDs8LnfQFrTd+YNEP1UuvIziG64WPYTRO9i
T7X6A6T77jFZg2ibt1ucQfQOOx0XED17XqIAq9IbR/aDDYIgWm+1VowgkH5z
ZAKYvn7wwlEFIH2iTfwEiJ4huvMKiK78znMVRM+6sshUEUj/tF5jDqIZpPfv
BNEZGU92gejjX55MVQLSbUfipoHool93NZSBtMTieE0QLcd14T2InvRG7wOI
dqncy6UCpI2d7HlA9M77bwVA9H+RVCEQbeV1NMUESE9NEUgF0YpfXjaAaBGD
tkYQLWhpMbMeSJswrVgAogHd4aRn
  "],
 CellLabel->"In[13]:=",ExpressionUUID->"b945f7fb-1ea4-40b7-8c26-36e1155fddf4"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxEm3k4VP/fxilt1ohKRUWyMxj78HnPTMgSKqks7ZZKpaJsKdmXFNmyZKtk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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.72987, 0.239399, 0.230961], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwl2nf8z9X/xnE7ZIeQrCQhmdGkpKzsldEgycjKLHuGskKyskelkmxRibL3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         
         "]]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[1.], 
        LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
         12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
         29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 
         46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 68, 
         63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$84292#1"]& ], 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[0.5], LineBox[CompressedData["
1:eJwl2He8zuUfx/FjJTOjgRBComRHGsooK3tkZkQys5W994rskT2zojRoZ1Rk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         "]]},
       Annotation[#, "Charting`Private`Tag$84292#2"]& ], 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[0.5], LineBox[CompressedData["
1:eJwV2Hf8T+UfxvGPvfemvX6VSCGUqBAVFSl7ZpMV2TtJUSF7pChZlb333rIp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         "]]},
       Annotation[#, "Charting`Private`Tag$84292#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512926028868618`, 0.6042167622562311},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox["\"A\"", TraditionalForm], None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{3.776183933357411*^9, 3.8097653966846046`*^9},
 CellLabel->"Out[13]=",ExpressionUUID->"f3df325d-06f5-4624-9afd-296c9d9fb225"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"\"\<MSSM\>\"", ",", "\"\<PMNS\>\"", ",", "\"\<Theta12\>\""}], 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"10", "^", "16"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", "\[IndentingNewLine]", 
   RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
    RowBox[{"10", "^", "4"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->{{3.775913939922827*^9, 3.775913940608491*^9}, {
  3.7759327107498417`*^9, 3.775932726750709*^9}, {3.775932768073545*^9, 
  3.775932768373774*^9}, {3.7759328747236967`*^9, 3.775932877385103*^9}, {
  3.775957806792759*^9, 3.77595783715173*^9}, {3.7759578706758842`*^9, 
  3.775957871474042*^9}, {3.775989145995027*^9, 3.775989174319191*^9}, {
  3.775989479634513*^9, 3.775989482738223*^9}, {3.776033059764255*^9, 
  3.776033069858341*^9}, {3.776183726068987*^9, 3.776183726218815*^9}},
 CellLabel->"In[14]:=",ExpressionUUID->"996a7506-d0e4-4132-bdd1-356a0cca4584"],

Cell[BoxData[
 InterpretationBox[
  TemplateBox[{"0.57", "0.04", "0.04"},
   "AroundAsym"],
  Around[0.5660828194254307055`4., {0.038175975877566354`, 
   0.044098872939953106`}]]], "Output",
 CellChangeTimes->{
  3.775989174694531*^9, {3.775989480255232*^9, 3.7759894832670918`*^9}, 
   3.7760330722295427`*^9, {3.7761837262451973`*^9, 3.7761837300766277`*^9}, 
   3.8097654019935102`*^9},
 CellLabel->"Out[14]=",ExpressionUUID->"76959989-3466-445e-85b2-c656e70ad28a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{
         "\"\<MSSM\>\"", ",", "\"\<PMNS\>\"", ",", "\"\<Theta23\>\""}], "}"}],
         ",", "\[IndentingNewLine]", "scale", ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
        "\[IndentingNewLine]", 
        RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
         RowBox[{"10", "^", "4"}]}], ",", "\[IndentingNewLine]", 
        RowBox[{"\"\<LightestNeutrinoMass\>\"", "\[Rule]", 
         RowBox[{"10", "^", 
          RowBox[{"-", "12"}]}]}]}], "\[IndentingNewLine]", "]"}], "[", 
      "\"\<Value\>\"", "]"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
          "\"\<MSSM\>\"", ",", "\"\<PMNS\>\"", ",", "\"\<Theta23\>\""}], 
          "}"}], ",", "\[IndentingNewLine]", "scale", ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}], ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<LightestNeutrinoMass\>\"", "\[Rule]", 
          RowBox[{"10", "^", 
           RowBox[{"-", "12"}]}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Min"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{
       RowBox[{"RunningMixingParameter", "[", "\[IndentingNewLine]", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
          "\"\<MSSM\>\"", ",", "\"\<PMNS\>\"", ",", "\"\<Theta23\>\""}], 
          "}"}], ",", "\[IndentingNewLine]", "scale", ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<TanBeta\>\"", "\[Rule]", "50"}], ",", 
         "\[IndentingNewLine]", 
         RowBox[{"\"\<SupersymmetryScale\>\"", "\[Rule]", 
          RowBox[{"10", "^", "4"}]}], ",", "\[IndentingNewLine]", 
         RowBox[{"\"\<LightestNeutrinoMass\>\"", "\[Rule]", 
          RowBox[{"10", "^", 
           RowBox[{"-", "12"}]}]}]}], "\[IndentingNewLine]", "]"}], "[", 
       "\"\<Interval\>\"", "]"}], "//", "Max"}]}], "\[IndentingNewLine]", 
    "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"{", 
    RowBox[{"scale", ",", 
     RowBox[{"10", "^", "5"}], ",", 
     RowBox[{"10", "^", "17"}]}], "}"}], ",", "\[IndentingNewLine]", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"2", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}], ",", "\[IndentingNewLine]", 
   RowBox[{"Frame", "\[Rule]", "True"}], ",", "\[IndentingNewLine]", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<renormalization scale [GeV]\>\"", ",", 
      "\"\<\!\(\*SubscriptBox[\(\[Theta]\), \(23\)]\)\>\""}], "}"}]}], ",", 
   "\[IndentingNewLine]", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", "\[IndentingNewLine]", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{"{", "\[IndentingNewLine]", 
     RowBox[{
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
        "]"}], "]"}], ",", "\[IndentingNewLine]", 
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}], ",", "\[IndentingNewLine]", 
      
      RowBox[{"Directive", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"ColorData", "[", "\"\<DarkRainbow\>\"", "]"}], "[", "0.9", 
         "]"}], ",", 
        RowBox[{"Opacity", "@", "0.5"}]}], "]"}]}], "\[IndentingNewLine]", 
     "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQBWIQ/Xfj/qCfim8cD1qJhYBohkkWESD6RdtPMK1stz0e
RO8yUUwA0Z7NW1JAdIT7hFwQLbDs8LnfQFrTd+YNEP1UuvIziG64WPYTRO9i
T7X6A6T77jFZg2ibt1ucQfQOOx0XED17XqIAq9IbR/aDDYIgWm+1VowgkH5z
ZAKYvn7wwlEFIH2iTfwEiJ4huvMKiK78znMVRM+6sshUEUj/tF5jDqIZpPfv
BNEZGU92gejjX55MVQLSbUfipoHool93NZSBtMTieE0QLcd14T2InvRG7wOI
dqncy6UCpI2d7HlA9M77bwVA9H+RVCEQbeV1NMUESE9NEUgF0YpfXjaAaBGD
tkYQDQDJc54x
  "],
 CellLabel->"In[15]:=",ExpressionUUID->"1e36e3d4-78cc-4357-93f3-8c9f73cbefbf"],

Cell[BoxData[
 GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJxEnHc81f37x62oSKWsioa917Edn+scsiojIyszIySitKxUhBRpIBmJhJRd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    
    "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
      {RGBColor[0.72987, 0.239399, 0.230961], Opacity[0.2], EdgeForm[None], 
       GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwl2Xf8jvUXx3F7z8ysEioUCaGIisreKzITsneoKBWRiMqIkDIT2URGdgqR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         "]]]}, {}, {}, {}}, {{}, {}, {}, 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[1.], 
        LineBox[{1, 71, 65, 60, 56, 53, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
         12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
         29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 
         46, 47, 48, 49, 72, 66, 61, 57, 54, 52, 73, 67, 62, 58, 55, 74, 68, 
         63, 59, 75, 69, 64, 76, 70, 77, 50}]},
       Annotation[#, "Charting`Private`Tag$97941#1"]& ], 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[0.5], LineBox[CompressedData["
1:eJwl13fcjvUbxvHHKjtlpFAJlaQ9EGlo2HtlE5FNtoyURCI72come0tkZGRE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         "]]},
       Annotation[#, "Charting`Private`Tag$97941#2"]& ], 
      TagBox[
       {RGBColor[0.72987, 0.239399, 0.230961], AbsoluteThickness[1.6], 
        Opacity[0.5], LineBox[CompressedData["
1:eJwV1nf8jWUYx/Fjz2wiMtoZEULZs5QUJUUlK5VNInuWlVHS0ELKJjIjMrJ3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         "]]},
       Annotation[#, "Charting`Private`Tag$97941#3"]& ]}}], {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{11.512926028868618`, 0.6586962904107063},
  CoordinatesToolOptions:>{"DisplayFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& ), "CopiedValueFunction" -> ({
      Exp[
       Part[#, 1]], 
      Part[#, 2]}& )},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
     "\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\), \\(23\\)]\\)\"", 
      TraditionalForm], None}, {
     FormBox["\"renormalization scale [GeV]\"", TraditionalForm], None}},
  FrameTicks->FrontEndValueCache[{{Automatic, Automatic}, {Quiet[
       Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
      Charting`ScaledFrameTicks[{Log, Exp}]}}, {{
     Automatic, Automatic}, {{{13.815510557964274`, 
        FormBox[
         TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{"10", "8"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{"10", "10"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{"10", "14"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{"10", "16"}, "Superscript", SyntaxForm -> 
          SuperscriptBox], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}, {{
       13.815510557964274`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       18.420680743952367`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       23.025850929940457`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       27.631021115928547`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       32.23619130191664, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       36.841361487904734`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.01, 0.}}, {
       9.210340371976184, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       11.512925464970229`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       16.11809565095832, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       20.72326583694641, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       25.328436022934504`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       29.933606208922594`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       34.538776394910684`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       39.14394658089878, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.44653167389282, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.54184185369715, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.62885323068678, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.708895938360314`, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.78300391051403, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
       41.85199678200099, 
        FormBox[
         TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}}}}],
  
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, "AxesInFront" -> True},
  PlotRange->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Quiet[
     Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
    Automatic}]], "Output",
 CellChangeTimes->{
  3.775913932150981*^9, 3.775914400008556*^9, 3.775914529730549*^9, 
   3.775957743028975*^9, 3.77598937649652*^9, 3.775989417162476*^9, 
   3.775990215500413*^9, 3.775991320559637*^9, 3.775993064889454*^9, 
   3.7759942943611517`*^9, {3.7759957050599833`*^9, 3.775995730727203*^9}, 
   3.776029486447494*^9, 3.776029687675507*^9, 3.776183627317276*^9, 
   3.809765532357671*^9},
 CellLabel->"Out[15]=",ExpressionUUID->"64e62e1e-8f9a-41f8-9199-38deae64e862"]
}, Open  ]]
},
WindowSize->{1155, 708},
WindowMargins->{{4, Automatic}, {Automatic, 4}},
FrontEndVersion->"12.1 for Mac OS X x86 (64-bit) (June 19, 2020)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"86326bee-7e0b-41f6-956b-b2c61eb7235f"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79"->{
  Cell[10287, 247, 38604, 844, 86, "Print",ExpressionUUID->"978b767f-2a93-4567-a2d4-175d57af049c",
   CellTags->"Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79"]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79", 327295, 6567}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 195, 3, 30, "Input",ExpressionUUID->"3de6fe9b-5362-46ba-9eb7-a3ec9ec0c4f2"],
Cell[756, 25, 274, 4, 30, "Input",ExpressionUUID->"51a3df49-e0c8-48be-8e83-a43ae97c32d2"],
Cell[CellGroupData[{
Cell[1055, 33, 241, 4, 30, "Input",ExpressionUUID->"a5e95704-e474-40b8-a789-1ad8a6114b64"],
Cell[1299, 39, 8985, 206, 136, "Output",ExpressionUUID->"4190a89f-6b89-4ee7-887e-373c7b8f32ae"],
Cell[10287, 247, 38604, 844, 86, "Print",ExpressionUUID->"978b767f-2a93-4567-a2d4-175d57af049c",
 CellTags->"Info-bf9f8dad-dacd-4eb0-92fe-52dcd99b7c79"]
}, Open  ]],
Cell[CellGroupData[{
Cell[48928, 1096, 283, 5, 30, "Input",ExpressionUUID->"8c2b6a9b-1c82-468e-9753-462265743297"],
Cell[49214, 1103, 4421, 122, 83, "Output",ExpressionUUID->"46039160-4757-4462-bd75-5be879126952"]
}, Open  ]],
Cell[CellGroupData[{
Cell[53672, 1230, 963, 16, 199, "Input",ExpressionUUID->"73e241ee-9cf6-46f3-a165-205dfa421c46"],
Cell[54638, 1248, 6928, 184, 129, "Output",ExpressionUUID->"35691adc-782b-403b-8f67-1421b4530429"]
}, Open  ]],
Cell[CellGroupData[{
Cell[61603, 1437, 839, 15, 136, "Input",ExpressionUUID->"339aab9a-49aa-468a-ad78-2d54c1e44643"],
Cell[62445, 1454, 600, 12, 36, "Output",ExpressionUUID->"1e71a404-dadb-4a97-bbbc-10543f18f3f8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[63082, 1471, 857, 19, 199, "Input",ExpressionUUID->"b7dcaaef-a382-44b6-ae32-7a7ca9c8846e"],
Cell[63942, 1492, 762, 22, 37, "Output",ExpressionUUID->"92e14677-a5fb-4cf5-9129-d87f29457488"]
}, Open  ]],
Cell[CellGroupData[{
Cell[64741, 1519, 3058, 72, 346, "Input",ExpressionUUID->"8df1adea-6374-44b5-919f-a828cadcd504"],
Cell[67802, 1593, 24536, 550, 253, "Output",ExpressionUUID->"43fedeb5-f0bb-4593-a57b-eebd72c00534"]
}, Open  ]],
Cell[CellGroupData[{
Cell[92375, 2148, 856, 15, 136, "Input",ExpressionUUID->"5841a61f-273c-46b9-961a-2bd53477a8fa"],
Cell[93234, 2165, 579, 11, 36, "Output",ExpressionUUID->"01c121b0-053a-4990-8b50-370d174b427e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[93850, 2181, 3745, 82, 661, "Input",ExpressionUUID->"f6298388-75b3-4ca3-93e2-fcb10c6cb5ee"],
Cell[97598, 2265, 13810, 286, 256, "Output",ExpressionUUID->"0d85c367-b9f8-476c-8044-c5417d0ab140"]
}, Open  ]],
Cell[CellGroupData[{
Cell[111445, 2556, 3754, 82, 661, "Input",ExpressionUUID->"f009c95b-49f7-41fc-919f-747e190e32e6"],
Cell[115202, 2640, 13569, 281, 252, "Output",ExpressionUUID->"a9228634-f1c4-4cbb-992c-9635b14de2e5"]
}, Open  ]],
Cell[CellGroupData[{
Cell[128808, 2926, 3803, 83, 661, "Input",ExpressionUUID->"8ac1b414-8912-4f25-b1c5-d21eff3e5423"],
Cell[132614, 3011, 11934, 257, 234, "Output",ExpressionUUID->"d8b60836-b4a6-4cb3-9411-8550a4bb9233"]
}, Open  ]],
Cell[CellGroupData[{
Cell[144585, 3273, 4015, 87, 667, "Input",ExpressionUUID->"22993c5f-f1c8-4b46-bffb-1339a042a641"],
Cell[148603, 3362, 13881, 285, 235, "Output",ExpressionUUID->"52d99d1e-38e1-466d-bd69-63e13e8e4bb6"]
}, Open  ]],
Cell[CellGroupData[{
Cell[162521, 3652, 981, 16, 115, "Input",ExpressionUUID->"c819d826-2a17-4129-ac03-7a1d0961e580"],
Cell[163505, 3670, 337, 7, 36, "Output",ExpressionUUID->"7e2139c9-9874-4da5-9107-3b1737c8893c"]
}, Open  ]],
Cell[CellGroupData[{
Cell[163879, 3682, 3640, 82, 619, "Input",ExpressionUUID->"b945f7fb-1ea4-40b7-8c26-36e1155fddf4"],
Cell[167522, 3766, 94601, 1616, 256, "Output",ExpressionUUID->"f3df325d-06f5-4624-9afd-296c9d9fb225"]
}, Open  ]],
Cell[CellGroupData[{
Cell[262160, 5387, 1067, 17, 136, "Input",ExpressionUUID->"996a7506-d0e4-4132-bdd1-356a0cca4584"],
Cell[263230, 5406, 469, 10, 36, "Output",ExpressionUUID->"76959989-3466-445e-85b2-c656e70ad28a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[263736, 5421, 4464, 101, 745, "Input",ExpressionUUID->"1e36e3d4-78cc-4357-93f3-8c9f73cbefbf"],
Cell[268203, 5524, 58701, 1029, 256, "Output",ExpressionUUID->"64e62e1e-8f9a-41f8-9199-38deae64e862"]
}, Open  ]]
}
]
*)