High Energy Physics - Phenomenology
[Submitted on 23 Aug 2023 (v1), last revised 1 Jan 2024 (this version, v3)]
Title:Gluon TMD fragmentation function into quarkonium
View PDF HTML (experimental)Abstract:We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet $^3S_1^{[8]}$ 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 $^3S_1^{[8]}$ 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.
Submission history
From: Miguel Echevarria [view email][v1] Wed, 23 Aug 2023 18:03:01 UTC (832 KB)
[v2] Thu, 31 Aug 2023 07:54:49 UTC (834 KB)
[v3] Mon, 1 Jan 2024 08:18:02 UTC (799 KB)
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