$B$-hadron fragmentation functions at next-to-next-to-leading order from global analysis of $e^{+}{e}^{-}$ annihilation data

Abstract

We present nonperturbative fragmentation functions (FFs) for bottom-flavored ($B$) hadrons both at next-to-leading (NLO) and, for the first time, at next-to-next-to-leading order (NNLO) in the $\overline{\mathrm{MS}}$ factorization scheme with five massless quark flavors. They are determined by fitting all available experimental data of inclusive single $B$-hadron production in $e^{+}{e}^{-}$ annihilation, from the ALEPH, DELPHI, and OPAL Collaborations at CERN LEP1 and the SLD Collaboration at SLAC SLC. The uncertainties in these FFs as well as in the corresponding observables are estimated using the Hessian approach. We perform comparisons with available NLO sets of $B$-hadron FFs. We apply our new FFs to generate theoretical predictions for the energy distribution of $B$ hadrons produced through the decay of unpolarized or polarized top quarks, to be measured at the CERN LHC.

Accepted by Physical Review D

References in corpus (9)

• Parton distributions for the LHC
• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Finite-Mass Effects on Inclusive B-Meson Hadroproduction
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• A study of the b-quark fragmentation function with the DELPHI detector at LEP I and an averaged distribution obtained at the Z Pole
• Confronting fragmentation function universality with single hadron inclusive production at HERA and $e^{+}{e}^{-}$ colliders
• Impact of unidentified light charged hadron data on the determination of pion fragmentation functions

Cited by in corpus (1)

• ${\Lambda }_c^{+}$ fragmentation functions from pQCD approach and the Suzuki model