Heavy Quark Fragmentation into Heavy Mesons

Abstract

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent parameters characterizing the fragmentation function. Because these parameters are quark mass independent, this procedure should permit tests of heavy quark symmetry. Furthermore, we show that heavy quark mass corrections vanish at order $m^2/Q^2$ in QCD. There also exist higher twist corrections of order $\Lambda m/Q^2$ and $\frac{{\alpha }_{QCD}}{\pi }\frac{m^2}{Q^2}\ln (Q^2/m^2)$ which we relate to the leading twist fragmentation function.

36 pages (Plain TeX with a PostScript figure appended at end), MIT CTP #2189

Cited by in corpus (61)

• Renormalons
• Differential Distributions in Semileptonic Decays of the Heavy Flavors in QCD
• 50 Years of Quantum Chromodynamics
• Physics of B_c mesons
• Perturbative QCD Fragmentation Functions as a Model for Heavy-Quark Fragmentation
• Specific Features of Heavy Quark Production. LPHD approach to heavy particle spectra
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• Power Corrections in the Decay Rate and Distributions in $B\to X_s{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Measurement of the b-quark fragmentation function in Z0 decays
• Resummation of Nonperturbative Corrections to the Lepton Spectrum in Inclusive $B\to X\ell \bar{\nu }$ Decays
• A Study of Heavy Flavoured Meson Fragmentation Functions in e+ e- annihilation
• A Phenomenological Study of Heavy-Quark Fragmentation Functions in e+e- Annihilation
• Precise measurement of the b-quark fragmentation function in Z0 boson decays
• Distributions of leptons in decays of polarised heavy quarks
• Perturbative QCD Fragmentation Functions for Production of P-wave Mesons with Charm and Beauty
• Two-loop Jet-Function and Jet-Mass for Top Quarks
• Heavy-Quark Fragmentation
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• Fragmentation Functions For Baryons in a Quark-Diquark Model
• Perturbative Prediction for Parton Fragmentation into Heavy Hadron
• Key Distributions for Charmless Semileptonic B Decay
• Non-Perturbative Corrections to Heavy Quark Fragmentation in e^+e^- Annihilation
• TMD factorization for dijet and heavy-meson pair in DIS
• Heavy Quark Fragmentation Functions for D-wave Quarkonium and Charmed Beauty Mesons
• Heavy baryons as polarimeters at colliders
• Optimized Variables of the Study of ${\Lambda }_b$ Polarization
• Threshold Resummed Spectra in B -> Xu l nu Decays in NLO (I)
• Inclusive Lambda_c Production in e^+e^- Annihilations at sqrt{s}=10.54 GeV and in Upsilon(4S) Decays
• Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC
• NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC
• Radiative and semi-leptonic B-meson decay spectra: Sudakov resummation beyond logarithmic accuracy and the pole mass
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• Charm Production and QCD Analysis at HERA and LHC
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• A new model-independent way of extracting |V_ub/V_cb|
• Chiral Condensate, Master Field and all that in $QC{D}_2(N\to \infty )$
• Using Heavy Quark Fragmentation into Heavy Hadrons to Determine QCD Parameters and Test Heavy Quark Symmetry
• Spin Alignment in the Production of Vector Mesons with Charm and/or Beauty via Heavy Quark Fragmentation
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Heavy Quark Fragmentation Functions In The Heavy Quark Effective Theory
• Heavy Quark Fragmentation in $e^{+}{e}^{-}$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD
• Helicity Probabilities For Heavy Quark Fragmentation Into Excited Mesons
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Perturbative Fragmentation of Leptoquark into Heavy Lepto-Quarkonium
• Unwinding the rare $\Omega$ sector: Fragmentation of fully charmed baryons from HL-LHC to FCC
• Transverse Momentum-Dependent Heavy-Quark Fragmentation at Next-to-Leading Order
• An improved description of charm fragmentation data
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Excited State Contributions to the Heavy Baryon Fragmentation Functions in a Quark-Diquark Model
• Perturbative fragmentation of vector colored particle into bound states with a heavy antiquark
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Tetraquark-Jet Systems at the High-Luminosity LHC
• The like-sign dimuon charge asymmetry at the Tevatron: corrections from B meson fragmentation
• Perturbative and Non-Perturbative Issues in Heavy Quark Fragmentation
• Compatibility of various approaches to heavy-quark fragmentation
• Definition and Calculation of Bottom Quark Cross-Sections in Deep-inelastic Scattering at HERA and Determination of their Uncertainties
• All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective
• The Inclusive Semileptonic Decay Lepton Spectrum from $B\to Xe\overline{\nu }$
• Power-suppressed effects in heavy quark fragmentation functions
• Heavy-flavor multimodal fragmentation to $S$-wave pentacharms at next-generation hadron colliders