Two loop QCD corrections to $e^+ e^- \to J/ψ+ η_c$ in asymptotic expansion
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| Formato: | Preprint |
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2025
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| _version_ | 1866908758034087936 |
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| author | Li, Cong Huang, Xu-Dong Sang, Wen-Long |
| author_facet | Li, Cong Huang, Xu-Dong Sang, Wen-Long |
| contents | Within the framework of NRQCD, the short-distance coefficients (SDCs) for the process $e^+e^-\to J/ψ+η_c$ have been obtained up to NNLO in asymptotic expansions over $r={16m_c^2}/{s}$ up to $r^{15}$. Although these asymptotic expressions are deviated from the full results near the threshold $r= 1$, they provide excellent approximations to the full results for $r<0.8$, with deviations less than $3\%$. Therefore, these asymptotic expressions offer reliable applications for phenomenological predictions across a wide range of center-of-mass energies $\sqrt{s}$. Utilizing these asymptotic expressions, we present phenomenological predictions for the cross sections in both the on-shell mass scheme and the $\overline{\rm MS}$ mass scheme, with the uncertainty arising from the renormalization scale $μ_R$ included. The $μ_R$ uncertainty for predictions from the $\overline{\rm MS}$ mass scheme is slightly larger than that from the on-shell mass scheme, which is partly attributed to the helicity flip in the process $e^+e^-\to J/ψ+η_c$. We observe that both mass schemes yield quite similar predictions, and our theoretical results are consistent with the available experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two loop QCD corrections to $e^+ e^- \to J/ψ+ η_c$ in asymptotic expansion Li, Cong Huang, Xu-Dong Sang, Wen-Long High Energy Physics - Phenomenology Within the framework of NRQCD, the short-distance coefficients (SDCs) for the process $e^+e^-\to J/ψ+η_c$ have been obtained up to NNLO in asymptotic expansions over $r={16m_c^2}/{s}$ up to $r^{15}$. Although these asymptotic expressions are deviated from the full results near the threshold $r= 1$, they provide excellent approximations to the full results for $r<0.8$, with deviations less than $3\%$. Therefore, these asymptotic expressions offer reliable applications for phenomenological predictions across a wide range of center-of-mass energies $\sqrt{s}$. Utilizing these asymptotic expressions, we present phenomenological predictions for the cross sections in both the on-shell mass scheme and the $\overline{\rm MS}$ mass scheme, with the uncertainty arising from the renormalization scale $μ_R$ included. The $μ_R$ uncertainty for predictions from the $\overline{\rm MS}$ mass scheme is slightly larger than that from the on-shell mass scheme, which is partly attributed to the helicity flip in the process $e^+e^-\to J/ψ+η_c$. We observe that both mass schemes yield quite similar predictions, and our theoretical results are consistent with the available experimental data. |
| title | Two loop QCD corrections to $e^+ e^- \to J/ψ+ η_c$ in asymptotic expansion |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.16317 |