FIESTA5: Numerical high-performance Feynman integral evaluation

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. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper introduces a new version of the FIESTA program, FIESTA5, which improves the speed of Feynman integral evaluation through various enhancements. The new release includes two new integrators, Quasi Monte Carlo and Tensor Train, and the old code of FIESTA4 has been upgraded and mostly rewritten. It also offers several essential improvements for complex integrations, enabling the program to produce previously impossible results.