Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD

Abstract

Based on the potential nonrelativistic QCD formalism, we compute the nonrelativistic QCD long-distance matrix elements (LDMEs) for inclusive production of $S$-wave heavy quarkonia. This greatly reduces the number of nonperturbative unknowns and brings in a substantial enhancement in the predictive power of the nonrelativistic QCD factorization formalism. We obtain improved determinations of the LDMEs and find cross sections and polarizations of $J/\psi$, $\psi (2S)$, and excited ${\rm Y}$ states that agree well with LHC data. Our results may have important implications in pinning down the heavy quarkonium production mechanism.

6 pages, 2 figures, 2 tables, minor corrections, version published as a Letter in Phys. Rev. D

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• Global analysis of $\psi (2S)$ inclusive hadroproduction at next-to-leading order in nonrelativistic-QCD factorization
• Shedding Light on Hadronization by Quarkonium Energy Correlator
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• Constraints on Nonrelativistic-QCD Long-Distance Matrix Elements from $J/\psi$ Plus $W$/$Z$ Production at the LHC
• Off-lightcone Wilson-line operators in gradient flow
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• Resummation of threshold double logarithms in hadroproduction of heavy quarkonium
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
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