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Smirnov, Vladimir A.

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Author ID: smirnov.vladimir-a Recent zbMATH articles by "Smirnov, Vladimir A."
Published as: Smirnov, V. A.; Smirnov, Vladimir A.
Homepage: http://theory.sinp.msu.ru/~smirnov/
Documents Indexed: 57 Publications since 1976, including 5 Books
Co-Authors: 28 Co-Authors with 31 Joint Publications
318 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 620 times in 374 Documents Cited by Year
Leading singularities and off-shell conformal integrals. Zbl 1342.81574
Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.
49
2013
Applied asymptotic expansions in momenta and masses. Zbl 1025.81002
Smirnov, V. A.
44
2002
Analytic tools for Feynman integrals. Zbl 1268.81004
Smirnov, Vladimir A.
42
2012
The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM. Zbl 1287.81080
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
37
2010
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
33
2013
Evaluating Feynman integrals. Zbl 1098.81003
Smirnov, Vladimir A.
31
2004
An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM. Zbl 1271.81104
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
30
2010
Renormalization and asymptotic expansions. Zbl 0744.46072
Smirnov, V. A.
22
1991
Five-loop Konishi in \(\mathcal{N}=4\) SYM. Zbl 1246.81452
Eden, Burkhard; Heslop, Paul; Korchemsky, Gregory P.; Smirnov, Vladimir A.; Sokatchev, Emery
21
2012
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2012
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation. Zbl 1342.81352
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
20
2013
Two-loop iteration of five-point \(\mathcal N=4\) super-Yang-Mills amplitudes. Zbl 1228.81213
Bern, Z.; Czakon, M.; Kosower, D. A.; Roiban, R.; Smirnov, V. A.
18
2006
The one-loop one-mass hexagon integral in \(D = 6\) dimensions. Zbl 1298.81378
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
17
2011
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
15
2011
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
15
2009
Calculation of general \(p\)-adic Feynman amplitude. Zbl 0797.46058
Smirnov, V. A.
14
1992
The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions. Zbl 1397.81073
Lee, R. N.; Smirnov, V. A.
12
2012
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
12
2010
Renormalization in \(p\)-adic quantum field theory. Zbl 1020.81726
Smirnov, V. A.
11
1991
Analytical result for dimensionally regularized massive on-shell planar double box. Zbl 0983.81065
Smirnov, V. A.
11
2002
Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators. Zbl 0956.81055
Smirnov, V. A.; Veretin, O. L.
10
2000
Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight. Zbl 1294.81290
Lee, R. N.; Smirnov, V. A.
10
2011
A planar four-loop form factor and cusp anomalous dimension in QCD. Zbl 1388.81989
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
10
2016
Asymptotic expansions in limits of large momenta and masses. Zbl 0729.47069
Smirnov, V. A.
9
1990
A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM. Zbl 1291.81240
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
9
2010
Analytical result for dimensionally regularized massless on-shell planar triple box. Zbl 1052.81570
Smirnov, V. A.
9
2003
Solving differential equations for Feynman integrals by expansions near singular points. Zbl 1388.81927
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
8
2018
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six. Zbl 1361.81105
Henn, J. M.; Smirnov, A. V.; Smirnov, V. A.
7
2017
The one-loop pentagon to higher orders in \(\varepsilon \). Zbl 1269.81195
Del Duca, Vittorio; Duhr, Claude; Nigel Glover, E. W.; Smirnov, Vladimir A.
6
2010
Four-dimensional integration by parts with differential renormalization as a method of evaluating Feynman diagrams. Zbl 0962.81526
Smirnov, V. A.
6
1996
Differential renormalization and dimensional regularization. Zbl 1049.81566
Smirnov, V. A.
6
1994
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams. Zbl 0964.81053
Smirnov, V. A.; Rakhmetov, E. R.
6
1999
Analytic results for planar three-loop integrals for massive form factors. Zbl 1390.81179
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
5
2016
Solving recurrence relations for multi-loop Feynman integrals. Zbl 1058.81606
Smirnov, Vladimir A.; Steinhauser, Matthias
5
2003
Massive three-loop form factor in the planar limit. Zbl 1373.81385
Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
4
2017
Three-loop on-shell Feynman integrals with two masses. Zbl 1194.81252
Bekavac, S.; Grozin, A. G.; Seidel, D.; Smirnov, V. A.
4
2009
Evaluating four-loop conformal Feynman integrals by \(D\)-dimensional differential equations. Zbl 1390.81280
Eden, Burkhard; Smirnov, Vladimir A.
4
2016
Analytical result for dimensionally regularized massless master double box with one leg off shell. Zbl 1094.81538
Smirnov, V. A.
3
2000
Analytical result for dimensionally regularized massless master non-planar double box with one-leg off shell. Zbl 0972.81123
Smirnov, V. A.
3
2001
Equivalence of recurrence relations for Feynman integrals with the same total number of external and loop momenta. Zbl 1050.81612
Baikov, P. A.; Smirnov, V. A.
3
2000
Next-to-next-to-leading logarithms in four-fermion electroweak processes at high energy. Zbl 0988.81557
Kühn, J. H.; Moch, S.; Penin, A. A.; Smirnov, V. A.
3
2001
Feyman integral calculus. Zbl 1111.81003
Smirnov, Vladimir A.
3
2006
Evaluating ‘elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points. Zbl 1395.81288
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
3
2018
The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box. Zbl 0999.81090
Smirnov, V. A.
2
2002
Gauge-invariant differential renormalization: the abelian case. Zbl 0906.53059
Smirnov, V. A.
2
1997
On differential renormalization. Zbl 0812.46074
Zav’yalov, O. I.; Smirnov, V. A.
2
1993
Evaluating double and triple (?) boxes. Zbl 1030.81019
Smirnov, V. A.
2
2003
Evaluation of three-loop Feynman diagrams by four-dimensional integration by parts and differential renormalization. Zbl 0978.81514
Kravtsova, G. A.; Smirnov, V. A.
1
1997
Asymptotic expansions of generalized functions with singularities on the light cone. Zbl 0411.46021
Smirnov, V. A.
1
1977
Solving differential equations for Feynman integrals by expansions near singular points. Zbl 1388.81927
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
8
2018
Evaluating ‘elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points. Zbl 1395.81288
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
3
2018
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six. Zbl 1361.81105
Henn, J. M.; Smirnov, A. V.; Smirnov, V. A.
7
2017
Massive three-loop form factor in the planar limit. Zbl 1373.81385
Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
4
2017
A planar four-loop form factor and cusp anomalous dimension in QCD. Zbl 1388.81989
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
10
2016
Analytic results for planar three-loop integrals for massive form factors. Zbl 1390.81179
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
5
2016
Evaluating four-loop conformal Feynman integrals by \(D\)-dimensional differential equations. Zbl 1390.81280
Eden, Burkhard; Smirnov, Vladimir A.
4
2016
Leading singularities and off-shell conformal integrals. Zbl 1342.81574
Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.
49
2013
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
33
2013
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation. Zbl 1342.81352
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
20
2013
Analytic tools for Feynman integrals. Zbl 1268.81004
Smirnov, Vladimir A.
42
2012
Five-loop Konishi in \(\mathcal{N}=4\) SYM. Zbl 1246.81452
Eden, Burkhard; Heslop, Paul; Korchemsky, Gregory P.; Smirnov, Vladimir A.; Sokatchev, Emery
21
2012
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2012
The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions. Zbl 1397.81073
Lee, R. N.; Smirnov, V. A.
12
2012
The one-loop one-mass hexagon integral in \(D = 6\) dimensions. Zbl 1298.81378
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
17
2011
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
15
2011
Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight. Zbl 1294.81290
Lee, R. N.; Smirnov, V. A.
10
2011
The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM. Zbl 1287.81080
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
37
2010
An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM. Zbl 1271.81104
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
30
2010
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
12
2010
A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM. Zbl 1291.81240
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
9
2010
The one-loop pentagon to higher orders in \(\varepsilon \). Zbl 1269.81195
Del Duca, Vittorio; Duhr, Claude; Nigel Glover, E. W.; Smirnov, Vladimir A.
6
2010
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
15
2009
Three-loop on-shell Feynman integrals with two masses. Zbl 1194.81252
Bekavac, S.; Grozin, A. G.; Seidel, D.; Smirnov, V. A.
4
2009
Two-loop iteration of five-point \(\mathcal N=4\) super-Yang-Mills amplitudes. Zbl 1228.81213
Bern, Z.; Czakon, M.; Kosower, D. A.; Roiban, R.; Smirnov, V. A.
18
2006
Feyman integral calculus. Zbl 1111.81003
Smirnov, Vladimir A.
3
2006
Evaluating Feynman integrals. Zbl 1098.81003
Smirnov, Vladimir A.
31
2004
Analytical result for dimensionally regularized massless on-shell planar triple box. Zbl 1052.81570
Smirnov, V. A.
9
2003
Solving recurrence relations for multi-loop Feynman integrals. Zbl 1058.81606
Smirnov, Vladimir A.; Steinhauser, Matthias
5
2003
Evaluating double and triple (?) boxes. Zbl 1030.81019
Smirnov, V. A.
2
2003
Applied asymptotic expansions in momenta and masses. Zbl 1025.81002
Smirnov, V. A.
44
2002
Analytical result for dimensionally regularized massive on-shell planar double box. Zbl 0983.81065
Smirnov, V. A.
11
2002
The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box. Zbl 0999.81090
Smirnov, V. A.
2
2002
Analytical result for dimensionally regularized massless master non-planar double box with one-leg off shell. Zbl 0972.81123
Smirnov, V. A.
3
2001
Next-to-next-to-leading logarithms in four-fermion electroweak processes at high energy. Zbl 0988.81557
Kühn, J. H.; Moch, S.; Penin, A. A.; Smirnov, V. A.
3
2001
Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators. Zbl 0956.81055
Smirnov, V. A.; Veretin, O. L.
10
2000
Analytical result for dimensionally regularized massless master double box with one leg off shell. Zbl 1094.81538
Smirnov, V. A.
3
2000
Equivalence of recurrence relations for Feynman integrals with the same total number of external and loop momenta. Zbl 1050.81612
Baikov, P. A.; Smirnov, V. A.
3
2000
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams. Zbl 0964.81053
Smirnov, V. A.; Rakhmetov, E. R.
6
1999
Gauge-invariant differential renormalization: the abelian case. Zbl 0906.53059
Smirnov, V. A.
2
1997
Evaluation of three-loop Feynman diagrams by four-dimensional integration by parts and differential renormalization. Zbl 0978.81514
Kravtsova, G. A.; Smirnov, V. A.
1
1997
Four-dimensional integration by parts with differential renormalization as a method of evaluating Feynman diagrams. Zbl 0962.81526
Smirnov, V. A.
6
1996
Differential renormalization and dimensional regularization. Zbl 1049.81566
Smirnov, V. A.
6
1994
On differential renormalization. Zbl 0812.46074
Zav’yalov, O. I.; Smirnov, V. A.
2
1993
Calculation of general \(p\)-adic Feynman amplitude. Zbl 0797.46058
Smirnov, V. A.
14
1992
Renormalization and asymptotic expansions. Zbl 0744.46072
Smirnov, V. A.
22
1991
Renormalization in \(p\)-adic quantum field theory. Zbl 1020.81726
Smirnov, V. A.
11
1991
Asymptotic expansions in limits of large momenta and masses. Zbl 0729.47069
Smirnov, V. A.
9
1990
Asymptotic expansions of generalized functions with singularities on the light cone. Zbl 0411.46021
Smirnov, V. A.
1
1977
all top 5

Cited by 474 Authors

24 Smirnov, Vladimir A.
16 Drummond, James M.
16 Henn, Johannes M.
16 Smirnov, Aleksandr Vladimirovich
15 Korchemsky, Gregory P.
14 Heslop, Paul J.
13 Sokatchev, Emery
12 Duhr, Claude
12 Kniehl, Bernd A.
11 Steinhauser, Matthias
9 Belitsky, Andrei V.
9 Panzer, Erik
8 Papathanasiou, Georgios
8 Yang, Gang
7 Bianchi, Marco S.
7 Bourjaily, Jacob L.
7 Caron-Huot, Simon
7 Chicherin, Dmitry
7 Dixon, Lance J.
7 Dulat, Falko
7 Marquard, Peter
6 Bern, Zvi
6 Eden, Burkhard
6 Herrmann, Enrico
6 McLeod, Andrew J.
6 von Hippel, Matt
5 Gonçalves, Vasco
5 Grozin, Andrey G.
5 Heinrich, Gudrun
5 Kondrashuk, Igor
5 Lee, Roman N.
5 Notte-Cuello, Eduardo Alfonso
5 Roiban, Radu
5 Schabinger, Robert M.
5 Zeng, Mao
4 Brandhuber, Andreas
4 Brödel, Johannes
4 Chetyrkin, K. G.
4 de Leeuw, Marius
4 Del Duca, Vittorio
4 Gehrmann, Thomas
4 He, Song
4 Huber, Tobias
4 Kalmykov, Mikhail Yu.
4 Komatsu, Shota
4 Lerner, Èduard Yul’evich
4 Mastrolia, Pierpaolo
4 Mauri, Andrea
4 Melnikov, Kirill
4 Parra-Martinez, Julio
4 Penante, Brenda
4 Pikelner, Andrey F.
4 Tentyukov, M. N.
4 Travaglini, Gabriele
4 Vermaseren, Jos A. M.
4 Von Manteuffel, Andreas
4 Wilhelm, Matthias
4 Zúñiga-Galindo, Wilson A.
3 Abreu, Samuel
3 Alday, Luis Fernando
3 Aprile, Francesco
3 Arutyunov, Gleb Eduardovich
3 Baikov, P. A.
3 Boels, Rutger H.
3 Bork, Leonid V.
3 Chang, Chao-Hsi
3 Chen, Jianbin
3 Dhani, Prasanna K.
3 Di Vecchia, Paolo
3 Doobary, Reza
3 Feng, Tai-Fu
3 Fleury, Thiago
3 Frellesvig, Hjalte
3 Gardi, Einan
3 Georgoudis, Alessandro
3 Glover, E. W. N.
3 González, Iván
3 Heissenberg, Carlo
3 Laporta, Stefano
3 Luthe, Thomas
3 Parra-Ferrada, Ivan
3 Paulos, Miguel F.
3 Penin, Alexander A.
3 Pennington, Jeffrey S.
3 Pereira, Raul
3 Ravindran, Varadarajan
3 Rojas-Medar, Marko Antonio
3 Ruijl, Ben
3 Spradlin, Marcus
3 Stewart, Iain W.
3 Tancredi, Lorenzo
3 Trnka, Jaroslav
3 Veretin, Oleg L.
3 Vergu, Cristian
3 Volovich, Anastasia
3 Zhang, Haibin
3 Zhang, Yang
3 Zhiboedov, Alexander
2 Ahmed, Taushif
2 Anastasiou, Charalampos
...and 374 more Authors
all top 5

Cited in 40 Serials

176 Journal of High Energy Physics
68 Nuclear Physics. B
18 Computer Physics Communications
18 Physics Letters. B
10 International Journal of Modern Physics A
9 Journal of Mathematical Physics
9 Theoretical and Mathematical Physics
7 Letters in Mathematical Physics
5 Communications in Mathematical Physics
4 Physics Reports
3 Nuclear Physics. B. Proceedings Supplements
2 Modern Physics Letters A
2 Classical and Quantum Gravity
2 International Journal of Theoretical Physics
2 Reviews in Mathematical Physics
2 Physical Review Letters
2 The European Physical Journal C. Particles and Fields
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Physics A: Mathematical and Theoretical
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Journal of Algebra
1 Journal of Functional Analysis
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Monatshefte für Mathematik
1 Tôhoku Mathematical Journal. Second Series
1 The Electronic Journal of Combinatorics
1 The Journal of Fourier Analysis and Applications
1 Journal of Nonlinear Mathematical Physics
1 Journal of Cosmology and Astroparticle Physics
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Advances in High Energy Physics
1 Communications in Theoretical Physics
1 Confluentes Mathematici
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Analysis and Mathematical Physics
all top 5

Cited in 41 Fields

359 Quantum theory (81-XX)
44 Relativity and gravitational theory (83-XX)
28 Mechanics of particles and systems (70-XX)
22 Special functions (33-XX)
16 Number theory (11-XX)
11 Associative rings and algebras (16-XX)
10 Algebraic geometry (14-XX)
10 Functional analysis (46-XX)
10 Numerical analysis (65-XX)
9 Differential geometry (53-XX)
8 Functions of a complex variable (30-XX)
7 Partial differential equations (35-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Approximations and expansions (41-XX)
6 Operator theory (47-XX)
5 Nonassociative rings and algebras (17-XX)
4 Probability theory and stochastic processes (60-XX)
4 Astronomy and astrophysics (85-XX)
3 Field theory and polynomials (12-XX)
3 Topological groups, Lie groups (22-XX)
3 Real functions (26-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year