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19952025
most citedFIRE5: a C++ implementation of Feynman Integral REduction

428 citations

Showing 2021Show all

8 papers · 1 filter

cond-mat.mes-hall2021★ 1 cited

Charge Motion along Polynucleotide Chains in a Constant Electric Field Depends on the Charge Coupling Constant with Chain Displacements

A. N. Korshunova, V. D. Lakhno

Various regimes of a charge motion along a chain in a constant electric field are investigated. This motion is simulated on the basis of the Holstein model. Earlier studies demonst…

cond-mat.stat-mech2021★ 4 cited

Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain

A. N. Korshunova, V. D. Lakhno

In this work, we consider the motion of a polaron in a polynucleotide Holstein molecular chain in a constant electric field. It is shown that the character of the polaron motion in…

hep-ph2021★ 11 cited

The -scheme QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold -expanded representation

I. O. Goriachuk, A. L. Kataev, V. S. Molokoedov

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling for the non-singlet contributions to Adler -function and Bjorken polarized…

hep-th2021★ 16 cited

The Four-Loop SYM Sudakov Form Factor

Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3

We present the Sudakov form factor in full color supersymmetric Yang-Mills theory to four loop order and provide uniformly transcendental results for the relevant m…

hep-ph2021★ 100 cited

FIESTA5: numerical high-performance Feynman integral evaluation

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

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 impr…

hep-ph2021★ 3 cited

Fermionic corrections to quark and gluon form factors in four-loop QCD

Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3

We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar verte…

hep-ph2021★ 20 cited

Glue-and-Cut at Five Loops

Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer +3

We compute epsilon-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up…

math.NA2021★ 5 cited

Tensor-Train Numerical Integration of Multivariate Functions with Singularities

Lev I. Vysotsky, Alexander V. Smirnov, Eugene E. Tyrtyshnikov

Numerical integration is a classical problem emerging in many fields of science. Multivariate integration cannot be approached with classical methods due to the exponential growth…