Geometric approach to asymptotic expansion of Feynman integrals

TL;DR

This paper introduces a geometric algorithm for asymptotic expansion of Feynman integrals, simplifying the identification of relevant contributions by reducing the problem to convex hull computation.

Contribution

The paper presents a novel geometric method that reduces the asymptotic expansion problem to convex hull analysis, enabling more efficient calculations.

Findings

Algorithm effectively identifies relevant contributions in Feynman integrals.

Reduction to convex hull problem simplifies asymptotic analysis.

Applicable to non-threshold-type expansions.

Abstract

We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a convex hull of a set of points in a multidimensional vector space.