Analytical two-loop amplitudes of $e^{+} e^{-} \longrightarrow \boldsymbol{J} / \boldsymbolψ+\boldsymbolη_c$ at $B$ factories
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915468207456256 |
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| author | Chen, Xiang Guan, Xin He, Chuan-Qi Ma, Yan-Qing Wang, Jian Zhang, Da-Jiang |
| author_facet | Chen, Xiang Guan, Xin He, Chuan-Qi Ma, Yan-Qing Wang, Jian Zhang, Da-Jiang |
| contents | In double charmonium production, a long-standing challenge is that the theoretical predictions are not consistent with the measurements at B factories. Within the NRQCD framework, the next-to-leading order (NLO) calculation has proved its power to cut down the discrepancy between theory and experiments. To further clarify this puzzle, we have performed the next-to-next-to-leading order (NNLO) calculation. The amplitude is obtained as an analytical asymptotic expansion in the ratio of the squared charm-quark mass over the squared center-of-mass energy, $m_c^2/s$. We investigate the origin of the leading logarithms by performing a region analysis, revealing the intricate factorization structure in this process. We provide numerical predictions on the total cross sections of $J/ψ+η_c$ production, which agree with the experimental results. Extension of our computation to $Υ+η_b$ production is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20777 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytical two-loop amplitudes of $e^{+} e^{-} \longrightarrow \boldsymbol{J} / \boldsymbolψ+\boldsymbolη_c$ at $B$ factories Chen, Xiang Guan, Xin He, Chuan-Qi Ma, Yan-Qing Wang, Jian Zhang, Da-Jiang High Energy Physics - Phenomenology High Energy Physics - Theory In double charmonium production, a long-standing challenge is that the theoretical predictions are not consistent with the measurements at B factories. Within the NRQCD framework, the next-to-leading order (NLO) calculation has proved its power to cut down the discrepancy between theory and experiments. To further clarify this puzzle, we have performed the next-to-next-to-leading order (NNLO) calculation. The amplitude is obtained as an analytical asymptotic expansion in the ratio of the squared charm-quark mass over the squared center-of-mass energy, $m_c^2/s$. We investigate the origin of the leading logarithms by performing a region analysis, revealing the intricate factorization structure in this process. We provide numerical predictions on the total cross sections of $J/ψ+η_c$ production, which agree with the experimental results. Extension of our computation to $Υ+η_b$ production is also discussed. |
| title | Analytical two-loop amplitudes of $e^{+} e^{-} \longrightarrow \boldsymbol{J} / \boldsymbolψ+\boldsymbolη_c$ at $B$ factories |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.20777 |