Asymptotic Expansions - Methods and Applications

TL;DR

This paper reviews various methods for asymptotic expansions of Feynman diagrams, focusing on large mass or momentum limits, comparing approaches, and discussing recent applications and their advantages and disadvantages.

Contribution

It provides a comprehensive overview of different asymptotic expansion techniques for Feynman diagrams and compares their effectiveness in various limiting cases.

Findings

Relations between field theoretic and diagrammatic approaches clarified

Different methods' pros and cons summarized

Recent applications in large mass/momentum limits discussed

Abstract

Different viewpoints on the asymptotic expansion of Feynman diagrams are reviewed. The relations between the field theoretic and diagrammatic approaches are sketched. The focus is on problems with large masses or large external momenta. Several recent applications also for other limiting cases are touched upon. Finally, the pros and cons of the different approaches are briefly discussed.