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arXiv 2607.03343hep-phhep-th
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首次审视辐射返回过程的双圈费曼积分评估

First look at the evaluation of two-loop Feynman integrals for radiative return processes

Università di Bologna(博洛尼亚大学);INFN, Sezione di Bologna(意大利国家核物理研究所博洛尼部分所);University of Liverpool(利物浦大学)

Mattia Pozzoli, William J. Torres Bobadilla

AI总结:

研究低能正负电子对撞机辐射返回过程,通过构建含嵌套平方根和椭圆几何积分的双圈四点费曼积分微分方程,为辐射返回过程的NNLO预测提供关键构建模块。

摘要:

低能电子 - 正电子对撞机辐射返回过程的精确研究需要次 - 次 - 领头阶QED预测并完全依赖电子质量。我们给出了与这些过程的初态辐射贡献相关的平面双圈四点费曼积分的计算。由于存在嵌套平方根和与椭圆几何相关的积分,计算具有相当大的分析复杂性。我们为费曼积分构建了在维数调节器中为多项式的微分方程,适用于数值积分。尽管存在大的尺度层次,我们在与低能实验相关的整个物理区域展示了稳定的数值评估。我们的结果为辐射返回过程的NNLO预测提供了基本构建块。

英文摘要:

Precision studies of radiative return processes at low-energy electron--positron colliders require next-to-next-to-leading order QED predictions retaining full dependence on the electron mass. We present the calculation of planar two-loop four-point Feynman integrals relevant for initial-state radiation contributions to these processes. The calculation presents considerable analytical complexity, due to the presence of a nested square root and of integrals associated with elliptic geometries. We construct differential equations for the Feynman integrals which are polynomial in the dimensional regulator, and are suitable for numerical integration. We demonstrate stable numerical evaluations throughout the physical region relevant for low-energy experiments, despite the presence of large hierarchies of scales. Our results provide essential building blocks for NNLO predictions for radiative return processes.

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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