The single parton fragmentation functions of heavy quarkonium in soft gluon factorization

2024/02/07 by Qi-Lin Jia, Jia, Qi-Lin, An-Ping Chen +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2402.04709

openalex publication_date 2024/02/07 · openalex created_date 2024/02/09 · openalex updated_date 2026/07/28

Abstract

We study the single parton fragmentation functions (FFs) at the input factorization scale μ₀\gtrsim 2m_Q, with heavy quark mass m_Q, in the soft gluon factorization (SGF) approach. We express the FFs in terms of perturbatively calculable short distance hard parts for producing a heavy quark-antiquark pair in all possible states, convoluted with corresponding soft gluon distribution for the hadronization of the pair to a heavy quarkonium. We compute the perturbative short distance hard parts for producing a heavy quark pair in all possible S-wave and P-wave states up to O(α_s²). With our results, the SGF can be further used to study the heavy quarkonium production at the hadron colliders and heavy quarkonium production within a jet.

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