Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams

TL;DR

This paper introduces a novel method using integration by fractional expansion to evaluate complex multiloop Feynman diagrams, simplifying calculations especially for diagrams with radiative corrections.

Contribution

The paper develops a modular IBFE technique for multiloop Feynman diagrams, enabling easier evaluation of massive cases similar to massless scenarios.

Findings

Effective reduction of complex subgraphs to multiregion expansions

Simplifies calculations for massive and massless diagrams

Applicable to recursive bubble-type diagram topologies

Abstract

We present an alternative technique for evaluating multiloop Feynman diagrams, using the integration by fractional expansion method. Here we consider generic diagrams that contain propagators with radiative corrections which topologically correspond to recursive constructions of bubble type diagrams. The main idea is to reduce these subgraphs, replacing them by their equivalent multiregion expansion. One of the main advantages of this integration technique is that it allows to reduce massive cases with the same degree of difficulty as in the massless case.