Yields and polarizations of prompt $\jpsi$ and $\psits$ production in hadronic collisions

Abstract

We give predictions of $\jpsi$ and $\psits$ yields and polarizations in prompt production at hadron colliders based on non-relativistic QCD factorization formula. We calculate short-distance coefficients of all important color-octet intermediate channels as well as color-singlet channels up to $\mathcal{O}({\alpha }_S^4)$, i.e. next-to-leading order in ${\alpha }_S$. For prompt $\jpsi$ production, we also take into account feeddown contributions from ${\chi }_{cJ}$(J=0,1,2) and $\psits$ decays. Color-singlet long-distance matrix elements (LDMEs) are estimated by using potential model, and color-octet LDMEs are extracted by fitting the Tevatron yield data only. The predictions are satisfactory for both yields and polarizations of prompt $\jpsi$ and prompt $\psits$ production at the Tevatron and the LHC. In particular, we find our predictions for polarizations of prompt $\jpsi$ production have only a little difference from our previous predictions for polarizations of direct $\jpsi$ production.

arXiv commentVersion published in JHEP, 17 pages, 8 figures

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• Double-quarkonium production at a fixed-target experiment at the LHC (AFTER@LHC)
• Indication for Double Parton Scatterings in W + Prompt J/Psi Production at the LHC
• Prospects for quarkonium studies at the high-luminosity LHC
• Energy Dependence of Direct-Quarkonium Production in pp Collisions from Fixed-Target to LHC Energies: Complete One-Loop Analysis
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