FIESTA5: numerical high-performance Feynman integral evaluation

DOI10.1016/j.cpc.2022.108386OpenAlexW3210085668WikidataQ112880889 ScholiaQ112880889MaRDI QIDQ2701227

N. D. Shapurov, L. I. Vysotsky, Alexander V. Smirnov

Publication date: 28 April 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11660

zbMATH Keywords

numerical integrationdimensional regularizationcomputer algebraFeynman diagramsmultiloop Feynman integrals

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Computer science (68-XX)

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Uses Software

• FIESTA

Cites Work

• Massive non-planar two-loop four-point integrals with SecDec 2.1
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
• A geometric method of sector decomposition
• Feynman integral evaluation by a sector decomposition approach (FIESTA)
• Analytic tools for Feynman integrals
• Applied asymptotic expansions in momenta and masses
• Cuba -- a library for multidimensional numerical integration
• Resolution of singularities for multi-loop integrals
• Numerical evaluation of phase space integrals by sector decomposition
• Numerical evaluation of multi-loop integrals by sector decomposition
• FIESTA4: optimized Feynman integral calculations with GPU support
• SecDec: A general program for sector decomposition
• Tensor-train numerical integration of multivariate functions with singularities
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• SECTOR DECOMPOSITION
• An automatized algorithm to compute infrared divergent multi-loop integrals.
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals

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