428 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lomonosov Moscow State UniversityRU40 papers
- Russian Academy of SciencesRU22 papers
- Karlsruhe Institute of TechnologyDE19 papers
- Keldysh Institute of Applied MathematicsRU18 papers
- Moscow Center For Continuous Mathematical EducationRU14 papers
- Astro Space CenterRU10 papers
- Budker Institute of Nuclear PhysicsRU7 papers
- Pennsylvania State UniversityUS6 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Institute for Nuclear ResearchRU4 papers
- Institut national de recherche en sciences et technologies du numériqueFR4 papers
- Michigan State UniversityUS3 papers
32 papers · 1 filter
Feynman integral reduction: balanced reconstruction of sparse rational functions and implementation on supercomputers in a co-design approach
Alexander Smirnov, Mao Zeng
Integration-by-parts (IBP) reduction is one of the essential steps in evaluating Feynman integrals. A modern approach to IBP reduction uses modular arithmetic evaluations with para…
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…
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…
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…
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A. V. Belitsky, A. V. Smirnov, V. A. Smirnov
We address the problem of evaluation of multiloop Feynman integrals by means of their Mellin-Barnes representation. After a brief overview of available capabilities though open sou…
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…
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…
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…
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…
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…
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…
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…
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…
Four-loop quark form factor with quartic fundamental colour factor
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1
We analytically compute the four-loop QCD corrections for the colour structure to the massless non-singlet quark form factor. The computation involves non-trivial…
The contributions to fermionic four-loop form factors
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1
We compute the four-loop contributions to the photon quark and Higgs quark form factors involving two closed fermion loops. We present analytical results for all non-planar master…
Massive three-loop form factor in the planar limit
Johannes Henn, Alexander V. Smirnov, Vladimir A. Smirnov +1
We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors and in the large- limit. The analytic results are expressed in terms…
Analytic results for planar three-loop integrals for massive form factors
Johannes M. Henn, Alexander V. Smirnov, Vladimir A. Smirnov
We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our…
Analytic three-loop static potential
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov +1
We present analytic results for the three-loop static potential of two heavy quarks. The analytic calculation of the missing ingredients is outlined and results for the singlet and…
Quark mass relations to four-loop order
Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov +1
We present results for the relation between a heavy quark mass defined in the on-shell and scheme to four-loop order. The method to compute the four-loop on-shell in…
FIRE5: a C++ implementation of Feynman Integral REduction
Alexander V. Smirnov
In this paper the C++ version of FIRE is presented - a powerful program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathemati…
Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
Fabrizio Caola, Johannes M. Henn, Kirill Melnikov +2
Knowledge of two-loop QCD amplitudes for processes is important for improving the theoretical description of four-lepton pro…
Expansion by regions: revealing potential and Glauber regions automatically
Bernd Jantzen, Alexander V. Smirnov, Vladimir A. Smirnov
When performing asymptotic expansions using the strategy of expansion by regions, it is a non-trivial task to find the relevant regions. The recently published Mathematica code asy…
Geometric approach to asymptotic expansion of Feynman integrals
Alexey Pak, Alexander Smirnov
We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem re…
The static quark potential to three loops in perturbation theory
Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
The static potential constitutes a fundamental quantity of Quantum Chromodynamics. It has recently been evaluated to three-loop accuracy. In this contribution we provide details on…