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Resummation of threshold double logarithms in quarkonium fragmentation functions

Hee Sok Chung1,2,*, U-Rae Kim3,†, and Jungil Lee2,‡

  • *Contact author: heesokchung@gwnu.ac.kr
  • †Contact author: kim87@kma.ac.kr
  • ‡Contact author: jungil@korea.ac.kr
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Phys. Rev. D 113, 074029 – Published 27 April, 2026

DOI: https://doi.org/10.1103/l4w2-v2f6

Abstract

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in the nonrelativistic QCD factorization formalism due to radiation of soft gluons. Because of this, fixed-order quarkonium fragmentation functions are not positive definite, and can lead to unphysically negative cross sections. This problem can be resolved by resumming threshold logarithms to all orders in perturbation theory, which renders the fragmentation functions finite and ensures the positivity of cross sections. We present a detailed derivation of the resummation formalism and derive the formula for resummed quarkonium fragmentation functions, which can be computed entirely within perturbation theory without the need for nonperturbative model functions.

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Outline

Information

Phys. Rev. D 113, 074029– Published 27 April, 2026
  • Received 18 February 2026
  • Accepted 31 March 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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