Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

TL;DR

This paper introduces FIESTA, a new software tool that performs sector decomposition and epsilon-expansion of Feynman integrals, improving computational methods in quantum field theory calculations.

Contribution

It presents a novel program implementing sector decomposition and integration, providing an alternative to existing algorithms for evaluating Feynman integrals.

Findings

Successfully computes epsilon-expansions of integrals.

Provides a practical tool for quantum field theory calculations.

Enhances computational efficiency over previous methods.

Abstract

Up to the moment there are two known algorithms of sector decomposition: an original private algorithm of Binoth and Heinrich and an algorithm made public lastyear by Bogner and Weinzierl. We present a new program performing the sector decomposition and integrating the expression afterwards. The program takes a set of propagators and a set of indices as input and returns the epsilon-expansion of the corresponding integral.