B工厂处粲偶素的排他性产生过程的再分析
Reanalysis of exclusive charmonium production at the $B$ factories
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中文总结 AI 辅助
本文分析B工厂排他性粲偶素产生过程的NNLO QCD修正，对比振幅与振幅平方层面的微扰展开方案，发现前者提升收敛性、降低标度依赖，且预言与Belle、BaBar测量更吻合。
中文摘要 AI 辅助
本文对B工厂处的排他性过程$e^{+}e^{-}\to J/\psi+\eta_{c}$、$e^{+}e^{-}\to J/\psi+\chi_{cJ}$、$e^{+}e^{-}\to \eta_{c}+\gamma$和$e^{+}e^{-}\to \chi_{cJ}+\gamma$（$J=0,1,2$）的 next-to-next-to-leading-order（NNLO）量子色动力学（QCD）修正进行了全面分析，对比了在振幅层面和振幅平方层面截断的微扰展开。结果表明，振幅层面的处理方案提升了微扰收敛性，其NNLO/LO比值比振幅平方层面处理方案的比值更接近对应的NLO/LO比值；这种提升在$e^{+}e^{-}\to\chi_{c2}+\gamma$过程中尤为显著，振幅层面处理方案下的NNLO预言约为LO结果的27%，而振幅平方层面处理方案下仅为12%。振幅层面处理方案还降低了剩余的重整化标度依赖性，尤其对P波道效果明显。最后，NNLO预言整体与已有的Belle和BaBar测量结果吻合良好，且中心值比振幅平方层面处理方案的结果更接近数据；对于仅存在上限的道，两种方案的预言均与实验约束一致，仅$e^{+}e^{-}\to\eta_c+\gamma$道的两个NNLO预言均高于当前上限。
英文摘要
In this paper, we present a comprehensive analysis of the next-to-next-to-leading-order (NNLO) QCD corrections to the exclusive processes $e^{+}e^{-}\to J/ψ+η_{c}$, $e^{+}e^{-}\to J/ψ+χ_{cJ}$, $e^{+}e^{-}\to η_{c}+γ$, and $e^{+}e^{-}\to χ_{cJ}+γ$ $(J=0,1,2)$ at the $B$ factories, comparing perturbative expansions truncated at the amplitude level and squared-amplitude level. Our results show that the amplitude-level prescription improves the perturbative convergence, with the NNLO/LO ratios lying closer to the corresponding NLO/LO ratios than those in the squared-amplitude-level prescription. This improvement is particularly pronounced for $e^{+}e^{-}\toχ_{c2}+γ$, where the NNLO prediction is about 27\% of the LO result in the amplitude-level prescription, compared with only 12\% in the squared-amplitude-level prescription. The amplitude-level prescription also reduces the residual renormalization scale dependence, particularly for the $P$-wave channels. Finally, the NNLO predictions are generally in good agreement with the available Belle and BaBar measurements and have central values closer to the data than those obtained with the squared-amplitude-level prescription. For channels with only upper limits, the predictions from both prescriptions are consistent with the experimental constraints, except for $e^{+}e^{-}\toη_c+γ$, where both NNLO predictions remain above the current upper limit.
发表机构
- College of Physics and Optoelectronic Engineering, Chongqing Normal University（重庆师范大学物理与光电工程学院）
- Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）
- University of Chinese Academy of Sciences, Chinese Academy of Sciences（中国科学院大学）
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