Geometrical splitting and reduction of Feynman diagrams

TL;DR

This paper reviews a geometrical method for calculating N-point Feynman diagrams, showing how splitting reduces variables and links diagrams with different parameters, improving computational efficiency.

Contribution

It introduces a geometrical splitting technique that simplifies Feynman diagram calculations by reducing variables and establishing connections between different integrals.

Findings

Geometrical splitting links Feynman integrals with different momenta and masses.

Reduces the number of variables in Feynman functions.

Facilitates more efficient calculations of N-point diagrams.

Abstract

A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals with different momenta and masses. It is demonstrated how these results can be used to reduce the number of variables in the occurring functions.