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Gluon TMD fragmentation function into quarkonium

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arxiv 2308.12356 v3 pith:US3FOZDO submitted 2023-08-23 hep-ph

classification hep-ph
keywords fragmentationgluonquarkoniumtmdffchannelcomputefunctionproduction
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurement of the fragmentation properties of jets containing $\Upsilon$(nS) mesons in proton-proton collisions at $\sqrt{s}$ = 13 TeV

    hep-ex 2026-07 conditional novelty 6.0 of 10

    First measurement of Upsilon(nS) jet-fragmentation profiles shows data have lower z and higher p_rel^T than PYTHIA 8.240/8.310 with CP1/CP5 tunes.

  2. The role of the soft scale for $J/\psi$ production in the transverse momentum dependent framework

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper derives new TMD soft transition functions and shows they dominate J/psi production at small transverse momentum by a factor of 1/v over previously used shape functions.

  3. $\psi(2S)$ production in jets using NRQCD

    hep-ph 2025-08 conditional novelty 6.0 of 10

    Applying NRQCD fragmenting jet functions and gluon-fragmentation-improved Pythia to psi(2S) in jets, the authors find that the LHCb data favor the Bodwin et al. LDME set and expose large tensions with other extractions.

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