FIESTA5: numerical high-performance Feynman integral evaluation

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.

References in corpus (11)

• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• SecDec: A general program for sector decomposition
• Blowing up Feynman integrals
• SecDec: A tool for numerical multi-loop calculations
• Expansion by regions with pySecDec
• Tensor-Train Numerical Integration of Multivariate Functions with Singularities
• Numerical evaluation of massive multi-loop integrals with SecDec
• Fermionic corrections to quark and gluon form factors in four-loop QCD
• Analytic results for two-loop planar master integrals for Bhabha scattering

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