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19972026
most citedFIESTA5: numerical high-performance Feynman integral evaluation

100 citations

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14 papers · 1 filter

hep-ph2025★ 2 cited

On multi-propagator angular integrals

Juliane Haug, Vladimir A. Smirnov, Fabian Wunder

We study multi-propagator angular integrals, a class of phase-space integrals relevant to processes with multiple observed final states and a test-bed for transferring loop-integra…

hep-ph2024★ 8 cited

Expansion by regions meets angular integrals

Vladimir A. Smirnov, Fabian Wunder

We study the small-mass asymptotic behavior of so-called angular integrals, appearing in phase-space calculations in perturbative quantum field theory. For this purpose we utilize…

hep-ph2023★ 45 cited

FIRE 6.5: Feynman Integral Reduction with New Simplification Library

Alexander V. Smirnov, Mao Zeng

FIRE is a program which performs integration-by-parts (IBP) reduction of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robe…

hep-ph2023★ 3 cited

The decomposed photon anomalous dimension in QCD and the -expanded representations for the Adler function

A. L. Kataev, V. S. Molokoedov

This work is devoted to the study of the -expansion of the perturbative expressions for the annihilation Adler function and for the related renormalization…

hep-ph2023★ 22 cited

Balancing act: multivariate rational reconstruction for IBP

A. V. Belitsky, A. V. Smirnov, R. V. Yakovlev

We address the problem of unambiguous reconstruction of rational functions of many variables. This is particularly relevant for recovery of exact expansion coefficients in integrat…

hep-ph2022★ 52 cited

Quark and gluon form factors in four-loop QCD

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

We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks…

hep-ph2022★ 9 cited

Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio

A. L. Kataev, V. S. Molokoedov

A specific representation of the known one-loop EW correction to the relation between the pole and running $\msbar$-scheme masses of the top-quark through particle masses of the St…

hep-ph2022★ 1 cited

Two-loop non-planar hexa-box integrals with one massive leg

Adam Kardos, Costas G. Papadopoulos, Alexander V. Smirnov +2

Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain…

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-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

Analytic results for two-loop planar master integrals for Bhabha scattering

Claude Duhr, Vladimir A. Smirnov, Lorenzo Tancredi

We analytically evaluate the master integrals for the second type of planar contributions to the massive two-loop Bhabha scattering in QED using differential equa- tions with canon…

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…

hep-ph2020★ 8 cited

Matching the heavy-quark fields in QCD and HQET at four loops

Andrey G. Grozin, Peter Marquard, Alexander V. Smirnov +2

The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the fo…