FKS subtraction for quarkonium production at NLO

Abstract

We extend the local infrared-divergence subtraction formalism, originally proposed by Frixione, Kunszt and Signer (FKS), to calculate short-distance (differential) cross section for any inclusive process involving a quarkonium particle in non-relativistic QCD (NRQCD) factorisation at next-to-leading order (NLO) accuracy in the strong coupling constant ${\alpha }_s$. The new formulas are generally applicable to the production of an S- or P-wave quarkonium state in association with any number of elementary particles. The main new ingredients derived in this paper are the local and integrated soft counterterms for the colour-singlet and colour-octet P-wave bound states. It, therefore, paves the way to the automation of the NLO calculations for heavy quarkonium inclusive and associated production processes.

53 pages, 2 figures, v2 (journal version)

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Cited by in corpus (4)

• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• Two-loop form factors for $P$-wave quarkonium production and decay
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED