×

zbMATH — the first resource for mathematics

Smirnov, Vladimir A.

Compute Distance To:
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: 54 Publications since 1976, including 5 Books

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 762 times in 455 Documents Cited by Year
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.
73
2010
Applied asymptotic expansions in momenta and masses. Zbl 1025.81002
Smirnov, V. A.
51
2002
Evaluating Feynman integrals. Zbl 1098.81003
Smirnov, Vladimir A.
50
2004
Leading singularities and off-shell conformal integrals. Zbl 1342.81574
Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.
48
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.
39
2006
The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM. Zbl 1287.81080
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
38
2010
Analytic tools for Feynman integrals. Zbl 1268.81004
Smirnov, Vladimir A.
35
2012
Feyman integral calculus. Zbl 1111.81003
Smirnov, Vladimir A.
32
2006
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
30
2013
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
24
2011
Five-loop Konishi in \(\mathcal{N}=4\) SYM. Zbl 1246.81452
Eden, Burkhard; Heslop, Paul; Korchemsky, Gregory P.; Smirnov, Vladimir A.; Sokatchev, Emery
22
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.
21
2013
The one-loop one-mass hexagon integral in \(D = 6\) dimensions. Zbl 1298.81378
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
20
2011
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2010
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
20
2009
Renormalization and asymptotic expansions. Zbl 0744.46072
Smirnov, V. A.
17
1991
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
16
2012
A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM. Zbl 1291.81240
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
16
2010
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.
15
2012
Calculation of general \(p\)-adic Feynman amplitude. Zbl 0797.46058
Smirnov, V. A.
14
1992
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.
13
2011
Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators. Zbl 0956.81055
Smirnov, V. A.; Veretin, O. L.
12
2000
Renormalization in \(p\)-adic quantum field theory. Zbl 1020.81726
Smirnov, V. A.
11
1991
Analytical result for dimensionally regularized massless on-shell planar triple box. Zbl 1052.81570
Smirnov, V. A.
10
2003
Asymptotic expansions in limits of large momenta and masses. Zbl 0729.47069
Smirnov, V. A.
10
1990
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
8
2016
The one-loop pentagon to higher orders in \(\varepsilon \). Zbl 1269.81195
Del Duca, Vittorio; Duhr, Claude; Nigel Glover, E. W.; Smirnov, Vladimir A.
8
2010
Analytical result for dimensionally regularized massive on-shell planar double box. Zbl 0983.81065
Smirnov, V. A.
8
2002
The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams. Zbl 0964.81053
Smirnov, V. A.; Rakhmetov, E. R.
8
1999
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.
6
2017
Three-loop on-shell Feynman integrals with two masses. Zbl 1194.81252
Bekavac, S.; Grozin, A. G.; Seidel, D.; Smirnov, V. A.
6
2009
Solving recurrence relations for multi-loop Feynman integrals. Zbl 1058.81606
Smirnov, Vladimir A.; Steinhauser, Matthias
6
2003
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
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
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.
5
2001
Solving differential equations for Feynman integrals by expansions near singular points. Zbl 1388.81927
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
4
2018
Massive three-loop form factor in the planar limit. Zbl 1373.81385
Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
4
2017
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 non-planar double box with one-leg off shell. Zbl 0972.81123
Smirnov, V. A.
4
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
Analytical result for dimensionally regularized massless master double box with one leg off shell. Zbl 1094.81538
Smirnov, V. A.
3
2000
Evaluating double and triple (?) boxes. Zbl 1030.81019
Smirnov, V. A.
2
2003
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 ‘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.
1
2018
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.
4
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.
1
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.
6
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
8
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.
48
2013
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
30
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.
21
2013
Analytic tools for Feynman integrals. Zbl 1268.81004
Smirnov, Vladimir A.
35
2012
Five-loop Konishi in \(\mathcal{N}=4\) SYM. Zbl 1246.81452
Eden, Burkhard; Heslop, Paul; Korchemsky, Gregory P.; Smirnov, Vladimir A.; Sokatchev, Emery
22
2012
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
16
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.
15
2012
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
24
2011
The one-loop one-mass hexagon integral in \(D = 6\) dimensions. Zbl 1298.81378
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
20
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.
13
2011
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.
73
2010
The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM. Zbl 1287.81080
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
38
2010
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2010
A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM. Zbl 1291.81240
Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
16
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.
8
2010
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
20
2009
Three-loop on-shell Feynman integrals with two masses. Zbl 1194.81252
Bekavac, S.; Grozin, A. G.; Seidel, D.; Smirnov, V. A.
6
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.
39
2006
Feyman integral calculus. Zbl 1111.81003
Smirnov, Vladimir A.
32
2006
Evaluating Feynman integrals. Zbl 1098.81003
Smirnov, Vladimir A.
50
2004
Analytical result for dimensionally regularized massless on-shell planar triple box. Zbl 1052.81570
Smirnov, V. A.
10
2003
Solving recurrence relations for multi-loop Feynman integrals. Zbl 1058.81606
Smirnov, Vladimir A.; Steinhauser, Matthias
6
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.
51
2002
Analytical result for dimensionally regularized massive on-shell planar double box. Zbl 0983.81065
Smirnov, V. A.
8
2002
The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box. Zbl 0999.81090
Smirnov, V. A.
2
2002
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.
5
2001
Analytical result for dimensionally regularized massless master non-planar double box with one-leg off shell. Zbl 0972.81123
Smirnov, V. A.
4
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.
12
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
Analytical result for dimensionally regularized massless master double box with one leg off shell. Zbl 1094.81538
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.
8
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.
17
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.
10
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 536 Authors

35 Smirnov, Vladimir A.
27 Henn, Johannes M.
22 Drummond, James M.
21 Duhr, Claude
21 Heslop, Paul J.
18 Korchemsky, Gregory P.
17 Smirnov, Aleksandr Vladimirovich
16 Sokatchev, Emery
15 Steinhauser, Matthias
13 Kniehl, Bernd A.
11 Bianchi, Marco S.
11 Dixon, Lance J.
11 Lee, Roman N.
11 Yang, Gang
10 Del Duca, Vittorio
9 Belitsky, Andrei V.
9 Eden, Burkhard
9 Gehrmann, Thomas
8 Brandhuber, Andreas
8 Caron-Huot, Simon
8 Gardi, Einan
8 Spradlin, Marcus
8 Travaglini, Gabriele
7 Alday, Luis Fernando
7 Bourjaily, Jacob L.
7 Chicherin, Dmitry
7 Dulat, Falko
7 Leoni, Matías
7 Panzer, Erik
6 Grozin, Andrey G.
6 Huber, Tobias
6 Marquard, Peter
6 Mastrolia, Pierpaolo
6 Mauri, Andrea
6 Papathanasiou, Georgios
6 Penin, Alexander A.
6 Tancredi, Lorenzo
6 Vieira, Pedro G.
5 Abreu, Samuel
5 Bern, Zvi
5 Bork, Leonid V.
5 Chetyrkin, K. G.
5 Glover, E. W. N.
5 Gonçalves, Vasco
5 González, Iván
5 Heinrich, Gudrun
5 Herrmann, Enrico
5 Ito, Katsushi
5 Kalmykov, Mikhail Yu.
5 Kondrashuk, Igor
5 Maldacena, Juan M.
5 Mason, Lionel J.
5 McLeod, Andrew J.
5 Naculich, Stephen G.
5 Notte-Cuello, Eduardo Alfonso
5 Roiban, Radu
5 Satoh, Yuji
5 von Hippel, Matt
5 Zhang, Yang
4 Anastasiou, Charalampos
4 Boels, Rutger H.
4 Britto, Ruth
4 Brödel, Johannes
4 de Leeuw, Marius
4 Frellesvig, Hjalte
4 Hatsuda, Yasuyuki
4 Kazakov, Dmitri I.
4 Khoze, Valentin V.
4 Komatsu, Shota
4 Laporta, Stefano
4 Melnikov, Kirill
4 Penante, Brenda
4 Penati, Silvia
4 Schabinger, Robert M.
4 Sever, Amit
4 Tentyukov, M. N.
4 Trnka, Jaroslav
4 Volovich, Anastasia
4 Wilhelm, Matthias
4 Zeng, Mao
4 Zhiboedov, Alexander
4 Zúñiga-Galindo, Wilson A.
3 Aprile, Francesco
3 Arutyunov, Gleb Eduardovich
3 Badger, Simon D.
3 Baikov, P. A.
3 Czakon, Michał
3 Dhani, Prasanna K.
3 Doobary, Reza
3 Fleury, Thiago
3 Gaiotto, Davide
3 Georgoudis, Alessandro
3 Lerner, Èduard Yul’evich
3 Luthe, Thomas
3 Mizera, Sebastian
3 Parra-Ferrada, Ivan
3 Paulos, Miguel F.
3 Pennington, Jeffrey S.
3 Pereira, Raul
3 Piclum, Jan H.
...and 436 more Authors
all top 5

Cited in 38 Serials

261 Journal of High Energy Physics
78 Nuclear Physics. B
21 Computer Physics Communications
11 Physics Letters. B
10 International Journal of Modern Physics A
9 Journal of Mathematical Physics
9 Theoretical and Mathematical Physics
6 Letters in Mathematical Physics
5 Communications in Mathematical Physics
3 Nuclear Physics, B, Proceedings Supplements
2 Modern Physics Letters A
2 Classical and Quantum Gravity
2 International Journal of Theoretical Physics
2 Physics Reports
2 Reviews in Mathematical Physics
2 Advances in Applied Mathematics
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 Tohoku Mathematical Journal. Second Series
1 The Journal of Fourier Analysis and Applications
1 Journal of Nonlinear Mathematical Physics
1 International Journal of Geometric Methods in Modern Physics
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

446 Quantum theory (81-XX)
40 Relativity and gravitational theory (83-XX)
27 Special functions (33-XX)
25 Number theory (11-XX)
24 Mechanics of particles and systems (70-XX)
14 Algebraic geometry (14-XX)
12 Functional analysis (46-XX)
12 Numerical analysis (65-XX)
11 Approximations and expansions (41-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Associative rings and algebras (16-XX)
9 Functions of a complex variable (30-XX)
9 Differential geometry (53-XX)
8 Partial differential equations (35-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Nonassociative rings and algebras (17-XX)
5 Operator theory (47-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Probability theory and stochastic processes (60-XX)
4 Computer science (68-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral transforms, operational calculus (44-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Commutative algebra (13-XX)
1 Calculus of variations and optimal control; optimization (49-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 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year