Four-point function in general kinematics through geometrical splitting and reduction

TL;DR

This paper introduces a geometrical splitting method to simplify N-point Feynman diagram integrals, demonstrated through a calculation of the one-loop four-point function in general kinematics.

Contribution

The paper presents a novel geometrical splitting technique that reduces variables in Feynman integrals, facilitating calculations in complex kinematic configurations.

Findings

Simplified parametric integrals for N-point diagrams

Reduced variables in four-point function calculations

Effective method for general kinematic scenarios

Abstract

It is shown how the geometrical splitting of N-point Feynman diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. As an example, a calculation of the dimensionally-regulated one-loop four-point function in general kinematics is presented.