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FIESTA5: numerical high-performance Feynman integral evaluation
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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.
Forward citations
Cited by 3 Pith papers
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Positive Integrands from Feynman Integrals in the Minkowski Regime
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.
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Off-shell form factor: factorization is violated
At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.
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Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling
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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