FIESTA5: numerical high-performance Feynman integral evaluation

TL;DR

FIESTA5 introduces significant performance enhancements and new integrators to accelerate Feynman integral evaluations, enabling complex calculations previously deemed infeasible.

Contribution

The paper presents FIESTA5, a major update with new integrators and code optimizations, improving speed and capability for complex Feynman integral evaluations.

Findings

FIESTA5 is faster than previous versions.

It can handle more complex integrals.

New integrators improve accuracy and efficiency.

Abstract

In this paper we present a new release of the FIESTA program (Feynman Integral Evaluation by a Sector decomposiTion Approach). FIESTA5 is performance-oriented - we implemented improvements of various kinds in order to make Feynman integral evaluation faster. We plugged in two new integrators, the Quasi Monte Carlo and Tensor Train. At the same time the old code of FIESTA4 was upgraded to the C++17 standard and mostly rewritten without self-made structures such as hash tables. There are also several essential improvements which are most relevant for complex integrations - the new release is capable of producing results where previously impossible.