Inclusive Production of Heavy Quarkonia in pNRQCD

Abstract

We develop a formalism for computing inclusive production cross sections of heavy quarkonia based on the nonrelativistic QCD and the potential nonrelativistic QCD effective field theories. Our formalism applies to strongly coupled quarkonia, which include excited charmonium and bottomonium states. Analogously to heavy quarkonium decay processes, we express nonrelativistic QCD long-distance matrix elements in terms of quarkonium wavefunctions at the origin and universal gluonic correlators. Our expressions for the long-distance matrix elements are valid up to corrections of order $1/N_c^2$. These expressions enhance the predictive power of the nonrelativistic effective field theory approach to inclusive production processes by reducing the number of nonperturbative unknowns, and make possible first-principle determinations of long-distance matrix elements once the gluonic correlators are known. Based on this formalism, we compute the production cross sections of $P$-wave charmonia and bottomonia at the LHC, and find good agreement with measurements.

39 pages, 8 figures, minor revisions, numerical results corrected, version published in JHEP

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Cited by in corpus (16)

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• Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections
• The static force from generalized Wilson loops using gradient flow
• QCD Static Force in Gradient Flow
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Model study on ${\rm Y}(nS)$ modification in small collision systems
• Off-lightcone Wilson-line operators in gradient flow
• Resummation of threshold double logarithms in hadroproduction of heavy quarkonium
• FKS subtraction for quarkonium production at NLO
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
• QCD static force in gradient flow
• Resummation of threshold double logarithms in quarkonium fragmentation functions
• Wilson loops with neural networks