Transverse Momentum Dependent Factorization for Quarkonium Production at Low Transverse Momentum

Abstract

Quarkonium production in hadron collisions at low transverse momentum $q_{\perp }\ll M$ with $M$ as the quarkonium mass can be used for probing transverse momentum dependent (TMD) gluon distributions. For this purpose, one needs to establish the TMD factorization for the process. We examine the factorization at the one-loop level for the production of ${\eta }_c$ or ${\eta }_b$. The perturbative coefficient in the factorization is determined at one-loop accuracy. Comparing the factorization derived at tree level and that beyond the tree level, a soft factor is, in general, needed to completely cancel soft divergences. We have also discussed possible complications of TMD factorization of p-wave quarkonium production.

Title changed in the journal, published version

References in corpus (10)

• Heavy quarkonium: progress, puzzles, and opportunities
• J/psi (psi') production at the Tevatron and LHC at O(α_s^4v^4) in nonrelativistic QCD
• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• QCD corrections to J/psi and Upsilon production at hadron colliders
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC
• Polarized gluon studies with charmonium and bottomonium at LHCb and AFTER
• Heavy Quarkonium Production at Low Pt in NRQCD with Soft Gluon Resummation
• NRQCD Factorization and Velocity-dependence of NNLO Poles in Heavy Quarkonium Production
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation

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