General one-loop reduction in generalized Feynman parametrization form  

作　　者：Hongbin Wang 王宏斌(Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China

出　　处：《Chinese Physics C》2022年第10期60-80,共21页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11935013)。

摘　　要：The search for an effective reduction method is one of the main topics in higher loop computation.Recently,an alternative reduction method was proposed by Chen in[1,2].In this paper,we test the power of Chen’s new method using one-loop scalar integrals with propagators of higher power.More explicitly,with the improved version of the method,we can cancel the dimension shift and terms with unwanted power shifting.Thus,the obtained integrating-by-parts relations are significantly simpler and can be solved easily.Using this method,we present explicit examples of a bubble,triangle,box,and pentagon with one doubled propagator.With these results,we complete our previous computations in[3]with the missing tadpole coefficients and show the potential of Chen’s method for efficient reduction in higher loop integrals.

关 键 词：Feynman integral reduction parametrization form one loop integral 

分 类 号：O411.1[理学—理论物理]