论文标题

在投影空间中的一环积分减少的普遍处理

Universal Treatment of Reduction for One-Loop Integrals in Projective Space

论文作者

Feng, Bo, Gong, Jianyu, Li, Tingfei

论文摘要

最近,使用与Feynman参数化相关的投射空间语言的技巧,已经在[1]中完成了一项很好的理解一环积分。我们发现,这种语言也非常适合处理与一般张量结构以及具有任意较高功能的传播器的单环积分的减少问题。在本文中,我们表明了如何将Feynman参数化和嵌入形式主义结合起来,以普遍治疗一般的单环积分,甚至包括退化的情况,例如消失的革兰氏决定因素。该方法的结果可以以紧凑而对称的形式编写。

Recently a nice work about the understanding of one-loop integrals has been done in [1] using the tricks of the projective space language associated to their Feynman parametrization. We find this language is also very suitable to deal with the reduction problem of one-loop integrals with general tensor structures as well as propagators with arbitrary higher powers. In this paper, we show that how to combine Feynman parametrization and embedding formalism to give a universal treatment of reductions for general one-loop integrals, even including the degenerated cases, such as the vanishing Gram determinant. Results from this method can be written in a compact and symmetric form.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源