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Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO+

Francesco Giovanni Celiberto* and Francesca Lonigro†

  • *Contact author: francesco.celiberto@uah.es
  • †Contact author: francesca.lonigro@uah.es
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Phys. Rev. D 112, 114040 – Published 24 December, 2025

DOI: https://doi.org/10.1103/rmsq-bq3b

Abstract

We investigate the inclusive hadroproduction of pseudoscalar heavy quarkonia, ηc and ηb mesons, in high-energy proton collisions. Our framework is based on the single-parton collinear fragmentation within a variable-flavor number scheme, tailored to describe the moderate to large transverse momentum regime. To this end, we construct a new set of collinear fragmentation functions, denoted as NRFF1.0, which evolve via standard Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations with a consistent treatment of flavor thresholds. Initial conditions for all parton-induced channels are computed using next-to-leading-order (NLO) nonrelativistic QCD. We perform our analysis within the next-to-leading logarithmic/NLO+ hybrid factorization framework, employing the JETHAD numerical interface together with the symJETHAD symbolic engine. These tools allow us to deliver predictions for high-energy observables sensitive to quarkonium final states at the 13 TeV LHC. To the best of our knowledge, the NRFF1.0 sets represent the first-ever release of collinear fragmentation functions for heavy quarkonia that consistently include all partonic channels within collinear factorization.

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Phys. Rev. D 112, 114040– Published 24 December, 2025
  • Received 14 October 2025
  • Accepted 25 November 2025
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