论文标题

单环Feynman积分的字母

Alphabet of one-loop Feynman integrals

论文作者

Chen, Jiaqi, Ma, Chichuan, Yang, Li Lin

论文摘要

在本文中,我们介绍了一环Feynman积分字母的通用结构。字母中的字母使用带有切割的Baikov表示。我们考虑融合和发散的剪切积分,并观察到可以通过应用某些限制从收敛案例中轻松获得的字母。这些字母以各种革兰氏决定因素而写为简单的表达式。字母的知识使我们能够轻松构建$ d \ log $表单的规范微分方程,并有助于引导解决方案的符号。

In this paper, we present the universal structure of the alphabet of one-loop Feynman integrals. The letters in the alphabet are calculated using the Baikov representation with cuts. We consider both convergent and divergent cut integrals and observe that letters in the divergent cases can be easily obtained from convergent cases by applying certain limits. The letters are written as simple expressions in terms of various Gram determinants. The knowledge of the alphabet enables us to easily construct the canonical differential equations of the $ d\log $ form and aids in bootstrapping the symbols of the solutions.

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