NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC

Abstract

In this work we derive three sets of non-perturbative fragmentation functions, with uncertainties, for $B$-hadrons, $J/\psi$'s and muons resulting from semileptonic $B$ decays. All three sets are with next-to-next-to leading order accuracy and include next-to-next-to leading logarithmic soft gluon resummation. The novel feature of these new sets is that they are fully consistent with our formalism for next-to-next-to leading order (NNLO) calculations for final states with identified $B$, $J/\psi$ or a $\mu$. We employ the fragmentation functions derived in this work to make state of the art predictions for such final states in $t\bar{t}$ events at the LHC. A special emphasis is placed on observables sensitive to the top quark mass. The present work opens the door for many LHC applications, like, open $B$ production or $B$ production in association with bosons.

46 pages, 59 figures, matches published version

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• A consistent resummation of mass and soft logarithms in processes with heavy flavours
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• B-meson hadroproduction in the SACOT-$m_{\mathrm{T}}$ scheme
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• An improved description of charm fragmentation data
• Dihadron helicity correlation in photon-nucleus collisions
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• IRC-safe jet flavour at leading power
• Energy-peak based method to measure top quark mass via B-hadron decay lengths