Abstract
Statistical classification models are commonly used to separate a signal from a background. In this talk we face the problem of isolating the signal of Higgs pair production using the decay channel in which each boson decays into a pair of b-quarks. Typically in this context non parametric methods are used, such as Random Forests or different types of boosting tools. We remain in the same non-parametric framework, but we propose to face the problem following a Bayesian approach. A Dirichlet process is used as prior for the random effects in a logit model which is fitted by leveraging the Polya-Gamma data augmentation. Refinements of the model include the insertion in the simple model of P-splines to relate explanatory variables with the response and the use of Bayesian trees (BART) to describe the atoms in the Dirichlet process.
Highlights
After the 2012 discovery of the Higgs boson by the LHC experiments, a lot remains to be understood about the phenomenology of the newly found particle
A interesting question is the value of the Higgs boson self-coupling constant, which can be determined by studying the production of Higgs boson pairs in proton-proton collisions
We are interested in analysing data collected by the Run 1 of the CMS experiment at the LHC (Large Hadron Collider) in 2012, and our goal is to fit a statistical model to isolate the signal of Higgs boson pairs decays in the final state characterised by 4 jets of b-quark, that is the particular decay channel in which each boson decays into a pair of b-quarks, with a final state featuring four hadronic jets
Summary
After the 2012 discovery of the Higgs boson by the LHC experiments, a lot remains to be understood about the phenomenology of the newly found particle. We are interested in analysing data collected by the Run 1 of the CMS experiment at the LHC (Large Hadron Collider) in 2012, and our goal is to fit a statistical model to isolate the signal of Higgs boson pairs decays in the final state characterised by 4 jets of b-quark, that is the particular decay channel in which each boson decays into a pair of b-quarks, with a final state featuring four hadronic jets. In order to identify a good model we considered a Monte Carlo simulation to create events representing the signal (Johan Alwall et al, 2011 e Jun Gao et al, 2014)
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