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arXiv · 2402.04709

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

Qi-Lin Jia·An-Ping Chen·Yuan-Guo Xu
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Abstract

We study the single parton fragmentation functions (FFs) at the input factorization scale $\mu_0\gtrsim 2m_Q$, 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 $O(\alpha_s^2)$. 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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Qi-Lin Jia, An-Ping Chen, Yuan-Guo Xu. 2024-02-07. The single parton fragmentation functions of heavy quarkonium in soft gluon factorization. https://arxiv.org/abs/2402.04709

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