FeynHelpers: Connecting FeynCalc to FIRE and Package-X

We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides a library of analytic results for scalar 1-loop integrals with up to 4 legs, while the latter is a general-purpose tool for reduction of multi-loop scalar integrals using Integration-by-Parts (IBP) identities.

我们提出了一款名为FeynHelpers的全新接口，其可将用于量子场论（QFT）中费曼图符号化半自动求值与计算的Mathematica扩展包FeynCalc，与Package-X和FIRE实现对接。其中Package-X提供了至多包含4条外腿的单圈标量积分解析结果库，而FIRE则是一款依托分部积分（IBP）恒等式完成多圈标量积分约化的通用工具。