Abstract
We summarize our recent work on how to infer on jet formation processes directly from substructure data using generative statistical models. We recount in detail how to cast jet substructure observables’ measurements in terms of Bayesian mixed membership models, in particular Latent Dirichlet Allocation. Using a mixed sample of QCD and boosted tt¯ jet events and focusing on the primary Lund plane observable basis for event measurements, we show how using educated priors on the latent distributions allows to infer on the underlying physical processes in a semi-supervised way.
Highlights
The use of jet substructure techniques in studying large area jets has played an important role in identifying hadronic decays of massive resonances, such as the W [1,2,3] and Higgs [4] bosons, as well as the top [5,6,7,8,9,10,11,12,13,14,15] quark, at the LHC
Using a mixed sample of QCD and boosted tt jet events and focusing on the primary Lund plane observable basis for event measurements, we show how using educated priors on the latent distributions allows to infer on the underlying physical processes in a semi-supervised way
Latent Dirichlet Allocation (LDA) is a special type of Bayesian model known as a mixed-membership model (MMM) because each measurement oi within an event can come from multiple themes, and each event within an event sample is composed of these themes with different proportions
Summary
The use of jet substructure techniques in studying large area jets has played an important role in identifying hadronic decays of massive resonances, such as the W [1,2,3] and Higgs [4] bosons, as well as the top [5,6,7,8,9,10,11,12,13,14,15] quark, at the LHC. We have shown that the inference algorithm is able to separate observable patterns corresponding to the massive resonance decays within the signal jets from patterns corresponding to light QCD emissions present within all jets This is achieved due to the mixed-membership nature of the generative model, where QCD-like patterns found both in the signal and background jets are identified as having been sampled from the same distribution describing QCD-like splittings in the jet substructure. These preliminary results are novel and have not yet been documented elsewhere
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