The single parton fragmentation functions of heavy quarkonium in soft gluon factorization
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914670069153792 |
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| author | Jia, Qi-Lin Chen, An-Ping Xu, Yuan-Guo |
| author_facet | Jia, Qi-Lin Chen, An-Ping Xu, Yuan-Guo |
| contents | We study the single parton fragmentation functions (FFs) at the input factorization scale $μ_0\gtrsim 2m_Q$, 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 $O(α_s^2)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The single parton fragmentation functions of heavy quarkonium in soft gluon factorization Jia, Qi-Lin Chen, An-Ping Xu, Yuan-Guo High Energy Physics - Phenomenology We study the single parton fragmentation functions (FFs) at the input factorization scale $μ_0\gtrsim 2m_Q$, 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 $O(α_s^2)$. 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. |
| title | The single parton fragmentation functions of heavy quarkonium in soft gluon factorization |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.04709 |