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FIESTA5: numerical high-performance Feynman integral evaluation

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arxiv 2110.11660 v1 pith:O523KOGS submitted 2021-10-22 hep-ph

classification hep-ph
keywords evaluationfeynmanintegralfiesta5improvementsreleaseapproachcapable
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Positive Integrands from Feynman Integrals in the Minkowski Regime

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A method for converting Minkowski-regime Feynman parameter integrals into sums of real, positive integrands with complex prefactors, eliminating contour deformation and speeding up numerical evaluation.

  2. Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling

    hep-th 2025-07 conditional novelty 6.0 of 10

    Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.

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