-
1
-
-
0000312317
-
Integration by parts: The algorithm to calculate beta functions in 4 loops
-
K.G. Chetyrkin, and F.V. Tkachov Integration by parts: the algorithm to calculate beta functions in 4 loops Nuclear Phys. B 192 1981 159 204
-
(1981)
Nuclear Phys. B
, vol.192
, pp. 159-204
-
-
Chetyrkin, K.G.1
Tkachov, F.V.2
-
2
-
-
85114174627
-
Analytic tools for Feynman integrals
-
V.A. Smirnov Analytic tools for Feynman integrals Springer Tracts Mod. Phys. vol. 250 2012 1 296
-
(2012)
Springer Tracts Mod. Phys.
, vol.250
, pp. 1-296
-
-
Smirnov, V.A.1
-
3
-
-
79956133881
-
The number of master integrals is finite
-
A.V. Smirnov, and A.V. Petukhov The number of master integrals is finite Lett. Math. Phys. 97 2011 37 44
-
(2011)
Lett. Math. Phys.
, vol.97
, pp. 37-44
-
-
Smirnov, A.V.1
Petukhov, A.V.2
-
4
-
-
58149280611
-
Algorithm FIRE - Feynman integral REduction
-
A.V. Smirnov Algorithm FIRE - Feynman integral REduction J. High Energy Phys. 10 2008 107
-
(2008)
J. High Energy Phys.
, vol.10
, pp. 107
-
-
Smirnov, A.V.1
-
5
-
-
23044512961
-
Automatic integral reduction for higher order perturbative calculations
-
C. Anastasiou, and A. Lazopoulos Automatic integral reduction for higher order perturbative calculations J. High Energy Phys. 07 2004 046
-
(2004)
J. High Energy Phys.
, vol.7
, pp. 046
-
-
Anastasiou, C.1
Lazopoulos, A.2
-
6
-
-
77953138447
-
Reduze - Feynman integral reduction in C++
-
C. Studerus Reduze - Feynman integral reduction in C++ Comput. Phys. Comm. 181 2010 1293 1300
-
(2010)
Comput. Phys. Comm.
, vol.181
, pp. 1293-1300
-
-
Studerus, C.1
-
9
-
-
0000802940
-
MINCER: Program for multiloop calculations in quantum field theory for the SCHOONSCHIP system
-
S.G. Gorishnii, S.A. Larin, L.R. Surguladze, and F.V. Tkachov MINCER: program for multiloop calculations in quantum field theory for the SCHOONSCHIP system Comput. Phys. Comm. 55 1989 381 408
-
(1989)
Comput. Phys. Comm.
, vol.55
, pp. 381-408
-
-
Gorishnii, S.G.1
Larin, S.A.2
Surguladze, L.R.3
Tkachov, F.V.4
-
10
-
-
77953544516
-
Four loop massless propagators: An algebraic evaluation of all master integrals
-
P.A. Baikov, and K.G. Chetyrkin Four loop massless propagators: an algebraic evaluation of all master integrals Nuclear Phys. B 837 2010 186 220
-
(2010)
Nuclear Phys. B
, vol.837
, pp. 186-220
-
-
Baikov, P.A.1
Chetyrkin, K.G.2
-
11
-
-
79960947107
-
Counting master integrals: Integration by parts versus differential reduction
-
M.Y. Kalmykov, and B.A. Kniehl Counting master integrals: integration by parts versus differential reduction Phys. Lett. B 702 2011 268 271
-
(2011)
Phys. Lett. B
, vol.702
, pp. 268-271
-
-
Kalmykov, M.Y.1
Kniehl, B.A.2
-
12
-
-
84864004745
-
Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions
-
M.Y. Kalmykov, and B.A. Kniehl Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions Phys. Lett. B 714 2012 103 109
-
(2012)
Phys. Lett. B
, vol.714
, pp. 103-109
-
-
Kalmykov, M.Y.1
Kniehl, B.A.2
-
13
-
-
0034736523
-
High-precision calculation of multi-loop Feynman integrals by difference equations
-
S. Laporta High-precision calculation of multi-loop Feynman integrals by difference equations Internat. J. Modern Phys. A15 2000 5087 5159
-
(2000)
Internat. J. Modern Phys.
, vol.15 A
, pp. 5087-5159
-
-
Laporta, S.1
-
14
-
-
49749106610
-
Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
-
R.N. Lee Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals J. High Energy Phys. 07 2008 031
-
(2008)
J. High Energy Phys.
, vol.7
, pp. 031
-
-
Lee, R.N.1
-
15
-
-
84864060849
-
The toolbox of modern multi-loop calculations: Novel analytic and semi-analytic techniques
-
A. Pak The toolbox of modern multi-loop calculations: novel analytic and semi-analytic techniques J. Phys. Conf. Ser. 368 2012 012049
-
(2012)
J. Phys. Conf. Ser.
, vol.368
, pp. 012049
-
-
Pak, A.1
-
16
-
-
33749348850
-
S-bases as a tool to solve reduction problems for Feynman integrals
-
A.V. Smirnov, and V.A. Smirnov S-bases as a tool to solve reduction problems for Feynman integrals Nuclear Phys. B Proc. Suppl. 160 2006 80 84
-
(2006)
Nuclear Phys. B Proc. Suppl.
, vol.160
, pp. 80-84
-
-
Smirnov, A.V.1
Smirnov, V.A.2
-
18
-
-
0000521512
-
The electron (g(e)-2) and the value of alpha: A check of QED at 1 ppb
-
S. Laporta, and E. Remiddi The electron (g(e)-2) and the value of alpha: a check of QED at 1 ppb Acta Phys. Polon. B 28 1997 959 977
-
(1997)
Acta Phys. Polon. B
, vol.28
, pp. 959-977
-
-
Laporta, S.1
Remiddi, E.2
-
19
-
-
80053278483
-
Analytic epsilon expansions of master integrals corresponding to massless three-loop form factors and three-loop g-2 up to four-loop transcendentality weight
-
R.N. Lee, and V.A. Smirnov Analytic epsilon expansions of master integrals corresponding to massless three-loop form factors and three-loop g-2 up to four-loop transcendentality weight J. High Energy Phys. 1102 2011 102
-
(2011)
J. High Energy Phys.
, vol.1102
, pp. 102
-
-
Lee, R.N.1
Smirnov, V.A.2
-
20
-
-
84861331829
-
Counting master integrals: Integration-by-parts procedure with effective mass
-
B.A. Kniehl, and A.V. Kotikov Counting master integrals: integration-by-parts procedure with effective mass Phys. Lett. B 712 2012 233 234
-
(2012)
Phys. Lett. B
, vol.712
, pp. 233-234
-
-
Kniehl, B.A.1
Kotikov, A.V.2
-
21
-
-
84888301941
-
-
arxiv:1303.690
-
J. Drummond, C. Duhr, B. Eden, P. Heslop, J. Pennington, V.A. Smirnov, Leading singularities and off-shell conformal integrals, 2013. arXiv:1303.690.
-
(2013)
Leading Singularities and Off-shell Conformal Integrals
-
-
Drummond, J.1
Duhr, C.2
Eden, B.3
Heslop, P.4
Pennington, J.5
Smirnov, V.A.6
|