Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia

Abstract

Within the NRQCD factorization framework, we compute the next-to-leading-order QCD corrections to the gluon fragmentation into the ${}^1{S}_0^{(1,8)}$ Fock components of a quarkonium, at the lowest order in velocity expansion. We follow the operator definition of the fragmentation function advanced by Collins and Soper. The key technique underpinning our calculation is the sector decomposition method widely used in the area of multi-loop computation. It is found that the NLO QCD corrections have significant effects, and qualitatively modify the profiles of the corresponding leading-order fragmentation functions.

10 pages, 2 figures, 2 tables

References in corpus (7)

• $Apart: A Generalized Mathematica Apart Function
• Semi-analytical calculation of gluon fragmentation into ${}^1{S}_0^{[1,8]}$ quarkonia at next-to-leading order
• Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium
• Gluon fragmentation into quarkonium at next-to-leading order
• Quark fragmentation into spin-triplet $S$-wave quarkonium
• Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
• Analytical calculation for the gluon fragmentation into spin-triplet S-wave quarkonium

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• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
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• All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective