论文标题

模块交点和均匀的公式,用于迭代降低一环积分

Module Intersection and Uniform Formula for Iterative Reduction of One-loop Integrals

论文作者

Chen, Jiaqi, Feng, Bo

论文摘要

在本文中,我们为Feynman积分制定了一个迭代的部门级减少策略,该策略基于Baikov代表中的模块交集和张量结构的辅助矢量。使用这种策略,我们研究了一般单环积分的减少,即具有任意张量结构和传播器任意功率的积分。受这些研究的启发,迭代地降低了所有一环积分的统一和紧凑的公式已被写下,在该公式中,逐个综合的多项式(IBP)关系中的多项式(IBP)关系已组织为革兰氏阴性酶。

In this paper, we develop an iterative sector-level reduction strategy for Feynman integrals, which bases on module intersection in the Baikov representation and auxiliary vector for tensor structure. Using this strategy we have studied the reduction of general one-loop integrals, i.e., integrals having arbitrary tensor structures and arbitrary power for propagators. Inspired by these studies, a uniform and compact formula that iteratively reduces all one-loop integrals has been written down, where messy polynomials in integration-by-parts (IBP) relations have organized themselves to Gram determinants.

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