Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)

Abstract

We derive the initial condition for the perturbative fragmentation function of a heavy quark through order O(alpha_s^2) in the MS-bar scheme. This initial condition is useful for computing heavy quark (or lepton, in case of QED) energy distributions from calculations with massless partons. In addition, the initial condition at O(alpha_s^2) can be used to resum collinear logarithms ln(Q^2/m^2) in heavy quark energy spectrum with next-to-next-to-leading logarithmic accuracy by solving the DGLAP equation.

14 pages, uses axodraw.sty; minor clarifications in the text; Fig(1,2) corrected; references added

References in corpus (2)

• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• QCD analysis of first b cross section data at 1.96 TeV

Cited by in corpus (75)

• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• Feynman Diagrams and Differential Equations
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• The singular behavior of massive QCD amplitudes
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Inclusive D^{*+-} Production in p p-bar Collisions with Massive Charm Quarks
• Collinear Subtractions in Hadroproduction of Heavy Quarks
• Heavy-quark production in gluon fusion at two loops in QCD
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• A Study of Heavy Flavoured Meson Fragmentation Functions in e+ e- annihilation
• Revisiting the D-meson hadroproduction in general-mass variable flavour number scheme
• The photon energy spectrum in B-> X_s + γin perturbative QCD through O(α_s^2)
• Perturbative Heavy Quark Fragmentation Function through O(α_s^2): Gluon Initiated Contribution
• The QCD form factor of heavy quarks at NNLO
• Resummation for (boosted) top-quark pair production at NNLO+NNLL' in QCD
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• Soft-gluon resummation for boosted top-quark production at hadron colliders
• Boosted top production: factorization and resummation for single-particle inclusive distributions
• Initial conditions for electron and photon structure and fragmentation functions
• Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme
• B-hadron hadro-production in NNLO QCD: application to LHC $t\bar{t}$ events with leptonic decays
• Effective field theory approach to heavy quark fragmentation
• Heavy Quark Fragmenting Jet Functions
• Improved constraints on parton distributions using LHCb, ALICE and HERA heavy-flavour measurements and implications for the predictions for prompt atmospheric-neutrino fluxes
• Radiative B decay spectrum: DGE at NNLO
• The two-loop soft function for heavy quark pair production at future linear colliders
• Photon Fragmentation in the Antenna Subtraction Formalism
• Bottom-quark fragmentation: comparing results from tuned event generators and resummed calculations
• (medium-modified) Fragmentation Functions
• Threshold Resummed Spectra in B -> Xu l nu Decays in NLO (I)
• A consistent resummation of mass and soft logarithms in processes with heavy flavours
• Soft logarithms in processes with heavy quarks
• Heavy-flavor parton distributions without heavy-flavor matching prescriptions
• NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC
• $\mathcal{O}({\alpha }_s)$ corrections to the B-hadron energy distribution of the top decay in the Minimal Supersymmetric Standard Model considering GM-VFN scheme
• Top-quark pair production at high invariant mass: an NNLO soft plus virtual approximation
• Modelling non-perturbative corrections to bottom-quark fragmentation
• QCD threshold corrections to Higgs decay and to hadroproduction in $l^{+}{l}^{-}$ annihilation
• B-meson hadroproduction in the SACOT-$m_{\mathrm{T}}$ scheme
• A fragmentation-based study of heavy quark production
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• Charm-quark fragmentation with an effective coupling constant
• Fragmentation in H->b bbar Processes
• Resummation effects in the bottom-quark fragmentation function
• Antenna subtraction at NNLO with identified hadrons
• Next-to-leading-order predictions for D^{*+-} plus jet photoproduction at DESY HERA
• Heavy Quark Fragmentation in $e^{+}{e}^{-}$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Measurements of jet observables sensitive to $b$-quark fragmentation in $t\bar{t}$ events at the LHC with the ATLAS detector
• The next-to-next-to-leading order soft function for top quark pair production
• 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${}^{+}$
• Indirect search for light charged Higgs bosons through the dominant semileptonic decays of top quark $t\to b(\to B/D+X)+H^{+}(\to {\tau }^{+}{\nu }_{\tau })$
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Hard QCD at hadron colliders
• Tetraquark-Jet Systems at the High-Luminosity LHC
• A New Method for Calculating Differential Distributions Directly in Mellin Space
• NNLO electron structure functions (PDFs) from SCET
• Open $B$-hadron production at hadron colliders in QCD at next-to-next-to-leading-order and next-to-next-to-leading-logarithmic accuracy
• The like-sign dimuon charge asymmetry at the Tevatron: corrections from B meson fragmentation
• NNLO splitting and coefficient functions with time-like kinematics
• All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective
• Multimodal Fragmentation of All-Heavy Pentaquarks: Uncertainty-Aware Predictions for Hadron Colliders
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• Charged Higgs production from polarized top-quark decay in the 2HDM considering the general-mass variable-flavor-number scheme
• Higgs-boson production in top-quark fragmentation
• Hadron production through Higgs decay at next-to-leading order in the general-mass variable-flavor-number scheme
• IRC-safe jet flavour at leading power
• Heavy-flavor multimodal fragmentation to $S$-wave pentacharms at next-generation hadron colliders