One loop integrals reduction

TL;DR

This paper enhances a method for simplifying Feynman integrals by exploiting symmetries in external momenta and masses, enabling direct application of recursion relations.

Contribution

It demonstrates how to apply recursion relations to Feynman integrals using symmetry considerations, improving upon previous methods.

Findings

Recursion relations can be effectively applied to Feynman integrals.

Symmetry of external momenta and masses simplifies integral reduction.

The method streamlines calculations in quantum field theory.

Abstract

By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.