BAT - The Bayesian Analysis Toolkit

Abstract

We describe the development of a new toolkit for data analysis. The analysis package is based on Bayes' Theorem, and is realized with the use of Markov Chain Monte Carlo. This gives access to the full posterior probability distribution. Parameter estimation, limit setting and uncertainty propagation are implemented in a straightforward manner. A goodness-of-fit criterion is presented which is intuitive and of great practical use.

31 pages, 10 figures

Cited by in corpus (173)

• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Search for high-mass dilepton resonances in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
• Search for new phenomena in the dijet mass distribution using $p-p$ collision data at $\sqrt{s}=8$ TeV with the ATLAS detector
• Search for new high-mass phenomena in the dilepton final state using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• First Results from CUORE: A Search for Lepton Number Violation via $0\nu \beta \beta$ Decay of ${}^{130}$Te
• $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\pi }^0\nu \bar{\nu }$ in the Standard Model: Status and Perspectives
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at sqrt(s) = 8 TeV
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at large recoil in the Standard Model: a theoretical reappraisal
• Improved Limit on Neutrinoless Double-Beta Decay in ${}^{130}$Te with CUORE
• Electroweak Precision Observables, New Physics and the Nature of a 126 GeV Higgs Boson
• New Limits on Interactions between Weakly Interacting Massive Particles and Nucleons Obtained with CsI(Tl) Crystal Detectors
• Search for new resonances in mass distributions of jet pairs using 139 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Electroweak precision observables and Higgs-boson signal strengths in the Standard Model and beyond: present and future
• The RooStats Project
• Search for high-mass diphoton resonances in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• Discovery probability of next-generation neutrinoless double-$\beta$ decay experiments
• Global Fit to Modified Neutrino Couplings and the Cabibbo-Angle Anomaly
• Search for dilepton resonances in pp collisions at sqrt(s) = 7 TeV with the ATLAS detector
• $\text{HEPfit}$: a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models
• Current and future constraints on Higgs couplings in the nonlinear Effective Theory
• An experiment to search for dark matter interactions using sodium iodide detectors
• A likelihood-based reconstruction algorithm for top-quark pairs and the KLFitter framework
• Measurement of the W boson polarization in top quark decays with the ATLAS detector
• Generic Loop Effects of New Scalars and Fermions in $b\to s{\ell }^{+}{\ell }^{-}$, $(g-2{)}_{\mu }$ and a Vector-like $4^{\mathrm{th}}$ Generation
• Measurements of longitudinal and transverse momentum distributions for neutral pions in the forward-rapidity region with the LHCf detector
• Search for a heavy charged boson in events with a charged lepton and missing transverse momentum from $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• New Limit for Neutrinoless Double-Beta Decay of ${}^{100}$Mo from the CUPID-Mo Experiment
• Results on $\beta \beta$ decay with emission of two neutrinos or Majorons in ${}^{76}$Ge from GERDA Phase I
• The background in the neutrinoless double beta decay experiment GERDA
• Measurement of the Longitudinal Proton Structure Function at HERA
• Global analysis of electroweak data in the Standard Model
• Search for high-mass new phenomena in the dilepton final state using proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for high-mass resonances decaying to dilepton final states in pp collisions at a center-of-mass energy of 7 TeV with the ATLAS detector
• The Fermi constant from muon decay versus electroweak fits and CKM unitarity
• The electro-weak couplings of the top and bottom quarks -- global fit and future prospects
• Explaining $b\to s{\ell }^{+}{\ell }^{-}$ and the Cabibbo Angle Anomaly with a Vector Triplet
• Search for single-top production in ep collisions at HERA
• Next-to-leading order unitarity fits in Two-Higgs-Doublet models with soft ${\mathbb{Z}}_2$ breaking
• Direct measurement of the 13C(α,n)16O cross section into the s-process Gamow peak
• Update of Global Two-Higgs-Doublet Model Fits
• Strong constraints from COSINE-100 on the DAMA dark matter results using the same sodium iodide target
• Search for extra dimensions using diphoton events in 7 TeV proton-proton collisions with the ATLAS detector
• Search for Extra Dimensions in diphoton events using proton-proton collisions recorded at sqrt(s) = 7 TeV with the ATLAS detector at the LHC
• A Global Bayesian Analysis of Neutrino Mass Data
• Measurement of the half-life of the two-neutrino double beta decay of Ge-76 with the Gerda experiment
• Search for a new heavy gauge boson resonance decaying into a lepton and missing transverse momentum in 36 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS experiment
• Search for the dark photon and the dark Higgs boson at Belle
• Search for contact interactions and large extra dimensions in the dilepton channel using proton-proton collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• A critical reassessment of particle Dark Matter limits from dwarf satellites
• Global Analysis of Leptophilic Z' Bosons
• Stellar Evolution confronts Axion Models
• Analysis methods for the first KATRIN neutrino-mass measurement
• EFTfitter---A tool for interpreting measurements in the context of effective field theories
• Search for High-Mass Resonances Decaying to $\tau \nu$ in $pp$ Collisions at $\sqrt{s}$ = 13 TeV with the ATLAS Detector
• A search for high-mass resonances decaying to tau+tau- in pp collisions at sqrt(s) = 7 TeV with the ATLAS detector
• Global fits in the Georgi-Machacek model
• Deep inelastic cross-section measurements at large y with the ZEUS detector at HERA
• Search for resonances in the mass distribution of jet pairs with one or two jets identified as $b$-jets in proton--proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Constraining top-quark couplings combining top-quark and $\mathbf{B}$ decay observables
• Global fits in the Aligned Two-Higgs-Doublet model
• Cosmogenic activation of xenon and copper
• A search for high-mass resonances decaying to ${\tau }^{+}{\tau }^{-}$ in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• VHEeP: A very high energy electron-proton collider
• Muon $g-2$ and CKM Unitarity in Extra Lepton Models
• Search for tb resonances in proton-proton collisions at sqrt(s) = 7 TeV with the ATLAS detector
• Electromagnetic Backgrounds and Potassium-42 Activity in the DEAP-3600 Dark Matter Detector
• Results of a search for neutrinoless double-beta decay using the COBRA demonstrator
• Search for the production of single vector-like and excited quarks in the $Wt$ final state in $pp$ collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• Searching for Neutrino-less Double Beta Decay of ${}^{136}$Xe with PandaX-II Liquid Xenon Detector
• Search for excited electrons and muons in sqrt(s)=8 TeV proton-proton collisions with the ATLAS detector
• Search for lepton-flavor violation in different-flavor, high-mass final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Mach number study of supersonic turbulence: The properties of the density field
• The first search for bosonic super-WIMPs with masses up to 1 MeV/c${}^2$ with GERDA
• Search for dark matter induced de-excitation of ${}^{180}$Ta${}^{\mathrm{m}}$
• Reference priors for high energy physics
• Extending the Analysis of Electroweak Precision Constraints in Composite Higgs Models
• Fully Bayesian Unfolding
• Search for a W' boson decaying to a muon and a neutrino in pp collisions at sqrt(s) = 7 TeV
• Search for the decay of nature's rarest isotope ${}^{180m}$Ta
• The top quark electro-weak couplings after LHC Run 2
• CUORE Sensitivity to $0\nu \beta \beta$ Decay
• Measurement of the high-energy gamma-ray emission from the Moon with the Fermi Large Area Telescope
• The First Direct Search for Inelastic Boosted Dark Matter with COSINE-100
• Measurement of ionization quenching in plastic scintillators
• p-Values for Model Evaluation
• Direct top-quark decay width measurement in the $t\bar{t}$ lepton+jets channel at $\sqrt{s}$=8 TeV with the ATLAS experiment
• Update of the electroweak precision fit, interplay with Higgs-boson signal strengths and model-independent constraints on new physics
• Search for resonances in the mass distribution of jet pairs with one or two jets identified as $b$-jets in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for new phenomena in different-flavour high-mass dilepton final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• (MC)**3 -- a Multi-Channel Markov Chain Monte Carlo algorithm for phase-space sampling
• New Test of Modulated Electron Capture Decay of Hydrogen-Like ${}^{142}$Pm Ions: Precision Measurement of Purely Exponential Decay
• Search for excited leptons in proton-proton collisions at sqrt(s) = 7 TeV with the ATLAS detector
• $2\nu \beta \beta$ decay of ${}^{76}$Ge into excited states with GERDA Phase I
• Search for dijet resonances in events with an isolated charged lepton using $\sqrt{s}=13$ TeV proton-proton collision data collected by the ATLAS detector
• Flavour anomalies and the muon $g-2$ from feebly interacting particles
• First measurement of the nuclear-recoil ionization yield in silicon at 100 eV
• Revisiting rescattering contributions to ${\overline{B}}_{(s)}\to D_{(s)}^{(\ast )}M$ decays
• Dark-Photon Search using Data from CRESST-II Phase 2
• Search for Two-Neutrino Double Electron Capture of ${}^{124}$Xe with XENON100
• $B$ anomalies under the lens of electroweak precision
• Search for single b*-quark production with the ATLAS detector at sqrt(s)=7 TeV
• New physics interpretation of $W$-boson mass anomaly
• Computing Tools for Effective Field Theories
• Searches for Lepton Flavor Violation in Tau Decays at Belle II
• Search for new resonances in events with one lepton and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Neutrinoless ${\beta }^{+}EC$ Decay of ${}^{120}$Te with CUORE-0
• Backgrounds and pulse shape discrimination in the ArDM liquid argon TPC
• Measurements of differential cross-sections in top-quark pair events with a high transverse momentum top quark and limits on beyond the Standard Model contributions to top-quark pair production with the ATLAS detector at $\sqrt{s}=13$ TeV
• Flavour anomalies from a split dark sector
• Correlating uncertainties in global analyses within SMEFT matters
• Limits on Interactions between Weakly Interacting Massive Particles and Nucleons Obtained with NaI(Tl) crystal Detectors
• Results on neutrinoless double beta decay from GERDA Phase I
• New theoretical constraints on scalar color octet models
• New direct limit on neutrinoless double beta decay half-life of ${}^{128}$Te with CUORE
• Limits on 331 vector bosons from LHC proton collision data
• Modeling of GERDA Phase II data
• Global Bayesian Analysis of the Higgs-boson Couplings
• Decoupling of the leading contribution in the discrete BFKL Analysis of High-Precision HERA Data
• A new investigation of half-lives for the decay modes of ${}^{50}$V
• Precision Measurement of the Specific Activity of ${}^{39}$Ar in Atmospheric Argon with the DEAP-3600 Detector
• Light scalars within the $\mathcal{C}\mathcal{P}$-conserving Aligned-two-Higgs-doublet model
• New Limits on Double Electron Capture of ${}^{40}$Ca and ${}^{180}$W
• GeMSE: a Low-Background Facility for Gamma-Spectrometry at Moderate Rock Overburden
• A search for solar axion induced signals with COSINE-100
• A Test Statistic for Weighted Runs
• Constraints on coloured scalars from global fits
• Model independent interpretation of recent CR lepton data after AMS-02
• Measurement of neutral current e+/-p cross sections at high Bjorken x with the ZEUS detector
• Accelerated Event-by-Event Neutrino Oscillation Reweighting with Matter Effects on a GPU
• Objective Bayesian analysis of "on/off" measurements
• Search for lepton-flavor-violating $\tau$ decays into a lepton and a vector meson using the full Belle data sample
• Double electron capture searches in ${}^{74}$Se
• Measurement of the forward-backward asymmetry of top-quark and antiquark pairs using the full CDF Run II data set
• Constraining new physics effective interactions via a global fit of electroweak, Drell-Yan, Higgs, top, and flavour observables
• Search for lepton-flavor-violating ${\tau }^{-}\to {\mu }^{-}{\mu }^{+}{\mu }^{-}$ decays at Belle II
• Production and Characterization of 228Th Calibration Sources with Low Neutron Emission for GERDA
• Search for new phenomena in multi-body invariant masses in events with at least one isolated lepton and two jets using $\sqrt{s}=13$ TeV proton-proton collision data collected by the ATLAS detector
• Deep-underground search for the decay of 180m-Ta with an ultra-low-background HPGe detector
• Microcanonical thermostatistics analysis without histograms: cumulative distribution and Bayesian approaches
• Double Beta Decays into Excited States in ${}^{110}$Pd and ${}^{102}$Pd
• The UTfit Collaboration Average of $D$ meson mixing data: Winter 2014
• Measurement of the temperature dependence of pulse lengths in an n-type germanium detector
• An improved half-life limit of the double beta decay of ${}^{94}$Zr into the excited state of ${}^{94}$Mo
• The evolution of ${\sigma }^{\gamma P}$ with coherence length
• Search for rare alpha and double beta decays of Yb isotopes to excited levels of daughter nuclei
• Search for a Dark Higgs Boson Produced in Association with Inelastic Dark Matter at the Belle II Experiment
• Skeptical combination of experimental results using JAGS/rjags with application to the K${}^{\pm }$ mass determination
• A Search for Heavy Resonances in the Dilepton Channel
• Reference analysis of the signal + background model in counting experiments II. Approximate reference prior
• RooStatsCms: a tool for analysis modelling, combination and statistical studies
• RooStatsCms: a tool for analyses modelling, combination and statistical studies
• Torsion Limits From $t\bar{t}$ Production at the LHC
• Vector-like Leptons in Light of the Cabibbo-Angle Anomaly
• makemyprior: Intuitive Construction of Joint Priors for Variance Parameters in R
• Bayesian network 3D event reconstruction in the Cygno optical TPC for dark matter direct detection
• The use of statistical methods for the search for new physics at the LHC (in Russian)
• Constraints on partial half-lives of Ce-136 and Ce-138 double electron captures
• First limits on double beta decays in ${}^{232}$Th
• Eikos: a Bayesian unfolding method for differential cross-section measurements
• Measurement of the inclusive ttgamma cross section at sqrt(s) = 7 TeV with the ATLAS detector
• A Neural-Network Framework for Tracking and Identification of Cosmic-Ray Nuclei in the RadMap Telescope
• Latest results from CUORE and prospects for CUPID
• Search for Double-Beta Decay of ${}^{130}\mathrm{Te}$ to the $0^{+}$ States of ${}^{130}\mathrm{Xe}$ with CUORE
• Evidence for neutron-induced $\mathbf{\gamma }$-ray emissions in the vicinity of the $\mathbf{Q}$ value of ${}^{76}\text{Ge}$ $0\nu \beta \beta$ decay
• High-Dimensional Bayesian Likelihood Normalisation for CRESST's Background Model
• Ratio of counts vs ratio of rates in Poisson processes
• Measurement of the $t\bar{t}Z$ Production Cross Section in the Final State with Three Charged Leptons using 36.1 fb${}^{-1}$ of $pp$ Collisions at 13 TeV at the ATLAS Detector
• Objective Bayesian analysis of counting experiments with correlated sources of background
• Improved tuning methods for Monte Carlo generators
• A new model test in high energy physics in frequentist and Bayesian statistical formalisms