Alternative method of Reduction of the Feynman Diagrams to a set of Master Integrals

TL;DR

This paper introduces a new set of Master Integrals and a reduction procedure to simplify multiloop Feynman diagram calculations in massless gauge theories, enabling more efficient decomposition of complex integrals.

Contribution

It presents a novel basis of Master Integrals and a reduction method specifically designed for multiloop three-point Feynman diagrams in massless gauge field theories.

Findings

New set of Master Integrals for multiloop calculations

A reduction procedure for decomposing complex integrals

Application to multiloop three-point diagrams

Abstract

We propose a new set of Master Integrals which can be used as a basis for certain multiloop calculations in massless gauge field theories. In these theories we consider three-point Feynman diagrams with arbitrary number of loops. The corresponding multiloop integrals may be decomposed in terms of this set of the Master Integrals. We construct a new reduction procedure which we apply to perform this decomposition.