Measurement of b quark fragmentation and hadronization properties in jets using the decay B^±→ (J/ψ) K^± → (μ⁺μ^-) K^± in proton-proton collisions at √s = 13 TeV with the LHCb detector

The fragmentation and hadronization properties of scattered b-quarks within jets are analyzed using the decay B^± → (J/ψ) K^± → (μ⁺μ⁻) K^± in proton-proton collisions at √s = 13 TeV. The distributions of B mesons are obtained using Pythia 8.2 Monte Carlo simulations in order to make correlations between B mesons and geometrically associated jets. Jets are clustered with the radius parameter, R = 0.5, using the anti-k_T algorithm. The goal of this analysis is to study the longitudinal momentum fraction, the transverse momentum profile, and the radial profile of the B hadrons with respect to the jet axis. Another goal of this project is to replicate this study implementing various event generators with different parton shower and hadronization models. Ultimately, the Monte Carlo predictions will be compared to data from Run 2 at the LHCb experiment for this particular process. The results from this study will be compared to a similar analysis done using the ATLAS detector; however, some complementary information, such as the radial profile of B mesons within jets, will be included. The study will complement a list of hadronization and fragmentation properties of heavy and light quarks measured by the University of Michigan-Ann Arbor group at the LHCb experiment.