Order-$v^2$ relativistic corrections to heavy-quark fragmentation into $P$-wave quarkonium states
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912881371512832 |
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| author | Cui, Sai Jiang, Sheng-Juan Xu, Guang-Zhi Liu, Kui-Yong |
| author_facet | Cui, Sai Jiang, Sheng-Juan Xu, Guang-Zhi Liu, Kui-Yong |
| contents | Within the framework of nonrelativistic QCD (NRQCD) factorization,and based on the Collins--Soper operator definition of fragmentation functions, we present a systematic calculation of the fragmentation functions for a heavy quark fragmenting into color-singlet $P$-wave quarkonium states. After reproducing and confirming the known leading-order results, we further compute the relativistic corrections up to order $\mathcal{O}(v^{2})$. Our analysis applies both to quarkonium systems composed of heavy quarks with the same flavor and to $B_c$-type mesons formed by heavy quarks of different flavors. Numerical results show that, for all color-singlet $P$-wave channels, the $\mathcal{O}(v^{2})$ relativistic corrections give sizable negative contributions over most of the momentum-fraction $z$ region. We further compute inclusive cross sections for $P$-wave quarkonium plus charmed hadrons in $e^+e^-$ annihilation via the single photon process up to $\mathcal{O}(v^{2})$ by applying our obtained fragmentation functions, and the resulting predictions are consistent with the full fixed-order results in the high-energy region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05615 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Order-$v^2$ relativistic corrections to heavy-quark fragmentation into $P$-wave quarkonium states Cui, Sai Jiang, Sheng-Juan Xu, Guang-Zhi Liu, Kui-Yong High Energy Physics - Phenomenology Within the framework of nonrelativistic QCD (NRQCD) factorization,and based on the Collins--Soper operator definition of fragmentation functions, we present a systematic calculation of the fragmentation functions for a heavy quark fragmenting into color-singlet $P$-wave quarkonium states. After reproducing and confirming the known leading-order results, we further compute the relativistic corrections up to order $\mathcal{O}(v^{2})$. Our analysis applies both to quarkonium systems composed of heavy quarks with the same flavor and to $B_c$-type mesons formed by heavy quarks of different flavors. Numerical results show that, for all color-singlet $P$-wave channels, the $\mathcal{O}(v^{2})$ relativistic corrections give sizable negative contributions over most of the momentum-fraction $z$ region. We further compute inclusive cross sections for $P$-wave quarkonium plus charmed hadrons in $e^+e^-$ annihilation via the single photon process up to $\mathcal{O}(v^{2})$ by applying our obtained fragmentation functions, and the resulting predictions are consistent with the full fixed-order results in the high-energy region. |
| title | Order-$v^2$ relativistic corrections to heavy-quark fragmentation into $P$-wave quarkonium states |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.05615 |