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arXiv 2311.04751hep-ph
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$B$ 工厂双 $J/ψ$ 产生的次次领头阶 QCD 修正

Next-to-next-to-leading-order QCD corrections to double $J/ψ$ production at the $B$ factories

Xu-Dong Huang, Bin Gong, Rui-Chang Niu, Huai-Min Yu, Jian-Xiong Wang

AI总结:

本文计算了 $B$ 工厂中 $e^+e^- \to J/ψ+J/ψ$ 过程的 NNLO QCD 修正,由于收敛性差改用振幅平方,并纳入底夸克和光对光贡献,得到截面 $1.76^{+2.42}_{-1.66}$ fb,可供未来实验比较。

摘要:

本文研究了在 $B$ 工厂中 $e^+e^- \to J/ψ+J/ψ$ 过程的次次领头阶(NNLO)QCD 修正。在计入 NNLO 修正后,由于微扰展开收敛性差,截面变为负值。因此,为了获得截面的合理估计,使用了包含到 NNLO 的振幅平方。此外,还包含了通常被忽略的底夸克贡献和光对光部分。在质心能量 $\sqrt{s}=10.58$ GeV 下,最终截面为 $1.76^{+2.42}_{-1.66} ~{\rm fb}$。我们的总截面和微分截面结果未来可与 $B$ 工厂的精确实验测量进行比较。

英文摘要:

In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process $e^+e^- \to J/ψ+J/ψ$ at the $B$ factories. By including the NNLO corrections, the cross section turns negative due to the poor convergence of perturbative expansion. Consequently, to obtain a reasonable estimation for the cross section, the square of the amplitude up to NNLO is used. In addition, the contributions from the bottom quark and the light-by-light part, which are usually neglected, are also included. The final cross section is obtained as $1.76^{+2.42}_{-1.66} ~{\rm fb}$ at a center-of-mass energy of $\sqrt{s}=10.58$ GeV. Our result for total cross section and differential cross section could be compared with precise experimental measurement in future at the $B$ factories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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