Heavy quark fragmentation functions at next-to-leading perturbative QCD

Abstract

It is well-known that the dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation. This mechanism is described by the fragmentation functions (FFs) which are the universal and process-independent functions. Here, we review the perturbative FFs formalism as an appropriate tool for studying these hadronization processes and detail the extension of this formalism at next-to-leading order (NLO). Using the Suzuki's model, we calculate the perturbative QCD FF for a heavy quark to fragment into a S-wave heavy meson at NLO. As an example, we study the LO and NLO FFs for a charm quark to split into the S-wave $D$-meson and compare our analytic results both with experimental data and well-known phenomenological models.

References in corpus (23)

• Hard-scattering factorization with heavy quarks: A general treatment
• Gluon Fragmentation into Heavy Quarkonium
• Quarkonium Production at High-Energy Colliders
• Z^0 Decay into Charmonium via Charm Quark Fragmentation
• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• Perturbative QCD Fragmentation Functions as a Model for Heavy-Quark Fragmentation
• Sudakov Resummation for Prompt-Photon Production in Hadron Collisions
• Charm Hadrons from Fragmentation and B decays in e+e- Annihilation at $\sqrt{s}=$10.6 GeV
• Charm Meson Spectra in e^+e^- Annihilation at 10.5 GeV c.m.e
• Determination of pion and kaon fragmentation functions including spin asymmetries data in a global analysis
• Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme
• Perturbative Prediction for Parton Fragmentation into Heavy Hadron
• Heavy quark peturbative QCD fragmentation functions in the presence of hadron mass
• Hadron energy spectrum in polarized top quark decays considering the effects of hadron and bottom quark masses
• Angular analysis of polarized top quark decay into B-mesons in two different helicity systems
• Fragmentation functions of $g\to {\eta }_c{(}^1{S}_0)$ and $g\to J/\psi {(}^3{S}_1)$ considering the role of heavy quarkonium spin
• Energy spectrum of bottom- and charmed-flavored mesons from polarized top quark decay $t(\uparrow )\to W^{+}+B/D+X$ at $\mathcal{O}({\alpha }_s)$
• $\mathcal{O}({\alpha }_s)$ corrections to the B-hadron energy distribution of the top decay in the Minimal Supersymmetric Standard Model considering GM-VFN scheme
• B-mesons from top-quark decay in presence of the charged-Higgs boson in the Zero-Mass Variable-Flavor-Number Scheme
• Charm-quark fragmentation with an effective coupling constant
• Spin-dependent energy distribution of B-hadrons from polarized top decays considering the azimuthal correlation rate
• Heavy Quark Fragmentation Functions In The Heavy Quark Effective Theory
• On the Application of Gluon to Heavy Quarkonium Fragmentation Functions

Cited by in corpus (12)

• First determination of $D^{\ast +}$-meson fragmentation functions and their uncertainties at next-to-next-to-leading order
• First global QCD analysis of charged hadron fragmentation functions and their uncertainties at next-to-next-to-leading order
• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Ground state heavy tetraquark production in heavy quark fragmentation
• ${\Lambda }_c^{+}$ fragmentation functions from pQCD approach and the Suzuki model
• Impact of unidentified light charged hadron data on the determination of pion fragmentation functions
• Phenomenology of leading nucleon production in $ep$ collisions at HERA in the framework of fracture functions
• Unwinding the rare $\Omega$ sector: Fragmentation of fully charmed baryons from HL-LHC to FCC
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Charm fragmentation functions in the Nambu-Jona-Lasinio model
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region