Gluon fragmentation into quarkonium at next-to-leading order

Abstract

We present the first calculation at next-to-leading order (NLO) in ${\alpha }_s$ of a fragmentation function into quarkonium whose form at leading order is a nontrivial function of $z$, namely the fragmentation function for a gluon into a spin-singlet S-wave state at leading order in the relative velocity. To calculate the real NLO corrections, we introduce a new subtraction scheme that allows the phase-space integrals to be evaluated in 4 dimensions. We extract all ultraviolet and infrared divergences in the real NLO corrections analytically by calculating the phase-space integrals of the subtraction terms in $4-2\epsilon$ dimensions. We also extract the divergences in the virtual NLO corrections analytically, and detail the cancellation of all divergences after renormalization. The NLO corrections have a dramatic effect on the shape of the fragmentation function, and they significantly increase the fragmentation probability.

arXiv comment33 pages, 4 figures

References in corpus (9)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• Scalar one-loop integrals for QCD
• J/psi polarization at hadron colliders in nonrelativistic QCD
• Gluon Fragmentation into Heavy Quarkonium
• J/psi polarization at Tevatron and LHC: Nonrelativistic-QCD factorization at the crossroads
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Heavy quarkonium production and polarization
• Next-to-leading Order Calculation of the Color-Octet 3S1 Gluon Fragmentation Function for Heavy Quarkonium

Cited by in corpus (27)

• New Observables in Inclusive Production of Quarkonia
• Diffractive semi-hard production of a $J/\psi$ or a ${\rm Y}$ from single-parton fragmentation plus a jet in hybrid factorization
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• The NLO fragmentation functions of heavy quarks into heavy quarkonia
• The QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^{\ast }$ meson and their application
• Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• Fragmentation functions for gluon into $B_c$ or $B_c^{\ast }$ meson
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium
• The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{\ast }$
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• Unwinding the rare $\Omega$ sector: Fragmentation of fully charmed baryons from HL-LHC to FCC
• Fragmentation function of gluon into spin-singlet $P$-wave quarkonium
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
• Resummation of threshold double logarithms in quarkonium fragmentation functions