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.

v3: matches published version; v2: typos corrected; v1: 29 pages, 2 figures

References in corpus (4)

• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Linearly polarized gluons in charmonium and bottomonium production in color octet model
• 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

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