Examples for Nabu

This repository contains the likelihood models presented in the paper and instructions on replicating the results using the nabu package. Below, we describe how to run each analysis. The following prescription allows each model to be loaded and used.

import nabu
likelihood_model = nabu.Likelihood.load("PATH/TO/MODEL.nabu")
generated_samples = likelihood_model.sample(100)

where the last line shows how to generate samples from the likelihood model.

ATLAS

The ATLAS model utilised in the paper is included in ATLAS/atlas-model.nabu, which encompasses the transformation information. To replicate the results, one can use the following command:

nabu-fit-to-data -dp ATLAS/atlas-dataset.npz -e 600 -t rqs -k 12 -int 1e-6 1 -tfrac 0.2990332256 -w 512 -l 8 -d 1 -perm random -lr 0.01 -mlr 1.0e-06

The data file contains standardised version of $p_T^{\mu\mu}$, $y^{\mu\mu}$, $p_T^{\mu_1}$, $\Delta \eta_{12}^2$ and $\Delta \phi_{12}^2$, respectively.

LHCb

The LHCb model used in the paper is located in LHCb/lhcb-model.nabu, which includes the transformation information. To replicate the results, use the following command.

nabu-fit-to-data -dp LHCb/lhcb-dataset.npz -e 600 -t rqs -k 12 -int 1e-6 1 -w 64 -l 8 -d 2 -lr 0.001 -mlr 1.0e-08

The datafile contains standardised version of $m^2(K^+D^-)$ and $m^2(D^+D^-)$, respectively.

WET

The WET model used in this paper is included in WET/wet-model.nabu, which contains the transformation information. To replicate the results, one can use the following command.

nabu-fit-to-data -dp WET/wet-dataset.npz -e 600 -w 64 -l 2 -d 3 -lr 0.001 -mlr 0.0001

The datafile contains standardised version of ${\rm Re}[C_{V_R}^{\bar{u}b\bar{e}\nu_e}]$, ${\rm Re}[C_{V_L}^{\bar{u}b\bar{e}\nu_e}]$, ${\rm Re}[C_{S_R}^{\bar{u}b\bar{e}\nu_e}]$, ${\rm Re}[C_{S_L}^{\bar{u}b\bar{e}\nu_e}]$ and ${\rm Re}[C_{T}^{\bar{u}b\bar{e}\nu_e}]$, respectively.

Sample illustrations

The complexity of the different samples can be illustrated using

python visualisation.py {ATLAS,LHCb,WET}

Please note that in addition to the packages required in the main repo (see here), the script uses pandas, mplhep, and hist which are available with pip and conda.

Figure	Caption
	One- and two-dimensional projections of the ATLAS example data set.
	One- and two-dimensional projections of the LHCb example data set.
	One- and two-dimensional projections of the WET example data set.