FIESTA5: Numerical high-performance Feynman integral evaluation

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

doi:10.1016/j.cpc.2022.108386

Cited by 64 publications

(27 citation statements)

References 34 publications

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“…Hence, after isolating the different kinematical regions of integration via e.g. the asy2.m code included in the FIESTA package [121,122,140], we can show that only the 7th propagator in the above families has a non-zero radiation region, with all others entering only through potential modes. This means, as expected, that diagrams with a single insertion of ∆ − contribute to the dissipative sector at 3PM, with the others replaced by Feynman Green's functions.…”

Section: Integration Problemmentioning

confidence: 98%

Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics

Kälin¹,

Neef²,

Porto³

2022

Preprint

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We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh "in-in" formalism and separating conservative and non-conservative terms according to the formulation in [1], which we show promotes Feynman's i0-prescription and cutting rules to a prominent role at the classical level. The resulting integrals, involving both Feynman and retarded propagators, can be bootstrapped to all orders in the velocity via differential equations with boundary conditions including potential and radiation modes. As a paradigmatic example we provide an ab initio derivation of the classical solution to the scattering problem in general relativity to O(G 3 ). For the sake of completeness, we also reproduce the leading order radiation-reaction effects in classical electrodynamics.

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Section: Integration Problemmentioning

confidence: 98%

Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics

Kälin¹,

Neef²,

Porto³

2022

Preprint

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“…1. Use the standard IBP programs [71,72], we derived the analytic differential equation for the master integrals. For instance, with FIRE6 [72], the computation took about two days with a node of 50 cores.…”

Section: Jhep10(2022)165mentioning

confidence: 99%

A study of Feynman integrals with uniform transcendental weights and their symbology

et al. 2022

J. High Energ. Phys.

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Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales may have complicated symbol structures, and we show that twistor geometries of closely related dual conformal integrals shed light on their alphabet and symbol structures. In this paper, first, as a cutting-edge example, we derive the two-loop four-external-mass Feynman integrals with uniform transcendental (UT) weights, based on the latest developments on UT integrals. Then we find that all the symbol letters of these integrals can be explained non-trivially by studying the so-called Schubert problem of certain dual conformal integrals with a point at infinity. Certain properties of the symbol such as first two entries and extended Steinmann relations are also studied from analogous properties of dual conformal integrals.

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“…The results for the DB integrals agree with the Ussyukina-Davydychev box functions expansion. We have also performed numerical checks of all our results using the FIESTA mathematica package [54,55]. See appendix A for details.…”

Section: Jhep08(2022)173mentioning

confidence: 99%

“…We 9 utilize the expansion by regions (see, e.g., ref. [67]) and Quasi Monte Carlo integrator [68] implemented in the FIESTA5 package [55]. To circumvent problems with spurious singularities in certain regions, we shift all the propagators by an integer multiple of an additional regularization parameter λ (see ref.…”

Section: A Pentabox and Other Integralsmentioning

confidence: 99%

Infrared properties of five-point massive amplitudes in $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

Bork

Muzhichkov

Sozinov

2022

J. High Energ. Phys.

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We investigate the structure of the five-point W boson scattering amplitude in $$ \mathcal{N} $$ N = 4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the Γoct anomalous dimension similar to the four-point amplitude case considered recently in the literature. We also make a conjecture regarding the all-loop structure of the five-point amplitude.

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FIESTA5: Numerical high-performance Feynman integral evaluation

Cited by 64 publications

References 34 publications

Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics

Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics

A study of Feynman integrals with uniform transcendental weights and their symbology

Infrared properties of five-point massive amplitudes in $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

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