Applications of FIESTA

TL;DR

This paper introduces a new computational tool for sector decomposition and numerical evaluation of Feynman integrals, capable of automatic expansions and parallel processing, demonstrated with four-loop massless propagator integrals.

Contribution

A novel program that performs sector decomposition, numerical integration, and automatic expansions of Feynman integrals, optimized for parallel computing environments.

Findings

Successfully evaluated four-loop massless propagator master integrals.

The program supports automatic expansions in momenta and masses.

Parallelizable on multicore and multiple computers.

Abstract

Sector decomposition in its practical aspect is a constructive method used to evaluate Feynman integrals numerically. We present a new program performing the sector decomposition and integrating the expression afterwards. The program can be also used in order to expand Feynman integrals automatically in limits of momenta and masses with the use of sector decompositions and Mellin--Barnes representations. The program is parallelizable on modern multicore computers and even on multiple computers. Also we demonstrate some new numerical results for four-loop massless propagator master integrals.