Gluon TMD fragmentation function into quarkonium

Abstract

We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet ${}^3{S}_1^{[8]}$ channel, based on the NRQCD factorization approach. The spurious rapidity divergences are explicitly shown to cancel in a well-defined TMDFF, which incorporates the needed soft factor. We also compute the integrated gluon FF at NLO in the same ${}^3{S}_1^{[8]}$ channel, and show that the matching coefficient of the TMDFF onto the FF at large transverse momentum is the expected one. These results are relevant to perform precise and sensible phenomenological studies of transverse-momentum spectra of quarkonium production, for which the production mechanism through fragmentation plays a relevant role, like in the future Electron-Ion Collider.

arXiv commentv3: matches published version; v2: typos corrected; v1: 29 pages, 2 figures

References in corpus (36)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Electron-Ion Collider in China
• Transverse momentum dependence in gluon distribution and fragmentation functions
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• Model Independent Evolution of Transverse Momentum Dependent Distribution Functions (TMDs) at NNLL
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• Polarized gluon studies with charmonium and bottomonium at LHCb and AFTER
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Heavy quarkonium fragmentation functions from a heavy quark pair. I. $S$ wave
• Azimuthal asymmetries in semi-inclusive $J/\psi +\mathrm{jet}$ production at an EIC
• Proper TMD factorization for quarkonia production: $pp\to {\eta }_{c,b}$ as a study case
• Associated production of a dilepton and a ${\rm Y}(J/\psi )$ at the LHC as a probe of gluon transverse momentum dependent distributions
• Next-to-leading Order Calculation of the Color-Octet 3S1 Gluon Fragmentation Function for Heavy Quarkonium
• Transverse Momentum Dependent Factorization for Quarkonium Production at Low Transverse Momentum
• Transverse momentum dependent operator expansion at next-to-leading power
• Transverse Momentum Dependent Fragmenting Jet Functions with Applications to Quarkonium Production
• Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC
• An effective field theory approach to quarkonium at small transverse momentum
• Linearly polarized gluons in charmonium and bottomonium production in color octet model
• Gluon Fragmentation into ${}^3{P}_J$ Quarkonium
• Probing Transverse Momentum Dependent Parton Distributions in Charmonium and Bottomonium Production
• Transverse momentum dependent shape function for $J/\psi$ production in SIDIS
• Predictive power of transverse-momentum-dependent distributions
• Process dependence of the gluon Sivers function in $p^{\uparrow }p\to J/\psi +X$ within a TMD approach in NRQCD
• Probing transverse momentum dependent gluon distribution functions from hadronic quarkonium pair production
• Extracting color octet NRQCD matrix elements from $J/\psi$ production at the EIC
• Quarkonium TMD fragmentation functions in NRQCD
• Azimuthal asymmetries in $J/\psi$-photon production at the EIC
• $\cos 2{\varphi }_t$ azimuthal asymmetry in back-to-back $J/\psi$-jet production in $ep\to eJ/\psi JetX$ at the EIC

Cited by in corpus (4)

• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Transverse Momentum-Dependent Heavy-Quark Fragmentation at Next-to-Leading Order
• Polarized TMD fragmentation functions for $J/\psi$ production
• Azimuthal angular correlation of $J/\psi$ plus jet production at the electron-ion collider