Resummation of relativistic corrections to heavy quarkonium $+\,γ$ production at $Z$ factory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909219874144256 |
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| author | Trunin, Anton |
| author_facet | Trunin, Anton |
| contents | Cross sections of the heavy quarkonium production process $e^+e^-\to H + γ$ at the c.m. energy of $Z^0$-boson resonance are calculated at leading order in $α_s$ with relativistic corrections resummed within the framework of nonrelativistic QCD (NRQCD). $S$- and $P$-wave charmonia and bottomonia are considered. For $J/ψ(Υ)$ production, the result of vector-meson-dominance (VMD) approach is also given. Relativistic contributions to charmonium production are of the same magnitude as next-to-leading order QCD corrections, decreasing cross section 20-30%. Relativistic corrections to bottomonium production are negligible, not exceeding 2%. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05729 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resummation of relativistic corrections to heavy quarkonium $+\,γ$ production at $Z$ factory Trunin, Anton High Energy Physics - Phenomenology Cross sections of the heavy quarkonium production process $e^+e^-\to H + γ$ at the c.m. energy of $Z^0$-boson resonance are calculated at leading order in $α_s$ with relativistic corrections resummed within the framework of nonrelativistic QCD (NRQCD). $S$- and $P$-wave charmonia and bottomonia are considered. For $J/ψ(Υ)$ production, the result of vector-meson-dominance (VMD) approach is also given. Relativistic contributions to charmonium production are of the same magnitude as next-to-leading order QCD corrections, decreasing cross section 20-30%. Relativistic corrections to bottomonium production are negligible, not exceeding 2%. |
| title | Resummation of relativistic corrections to heavy quarkonium $+\,γ$ production at $Z$ factory |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.05729 |