-
1
-
-
0042910977
-
Differential equations method: New technique for massive Feynman diagrams calculation
-
[INSPIRE]
-
A.V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation, Phys. Lett. B 254 (1991) 158 [INSPIRE].
-
(1991)
Phys. Lett. B
, vol.254
, pp. 158
-
-
Kotikov, A.V.1
-
2
-
-
0040054123
-
Differential equations for Feynman graph amplitudes
-
[hep-th/9711188] [INSPIRE]
-
E. Remiddi, Differential equations for Feynman graph amplitudes, Nuovo Cim. A 110 (1997) 1435 [hep-th/9711188] [INSPIRE].
-
(1997)
Nuovo Cim. A
, vol.110
, pp. 1435
-
-
Remiddi, E.1
-
3
-
-
0000290661
-
Differential equations for two loop four point functions
-
[hep-ph/9912329] [INSPIRE]
-
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions, Nucl. Phys. B 580 (2000) 485 [hep-ph/9912329] [INSPIRE].
-
(2000)
Nucl. Phys. B
, vol.580
, pp. 485
-
-
Gehrmann, T.1
Remiddi, E.2
-
4
-
-
35148834667
-
Feynman diagrams and differential equations
-
[arXiv:0707.4037] [INSPIRE]
-
M. Argeri and P. Mastrolia, Feynman Diagrams and Differential Equations, Int. J. Mod. Phys. A 22 (2007) 4375 [arXiv:0707.4037] [INSPIRE].
-
(2007)
Int. J. Mod. Phys. A
, vol.22
, pp. 4375
-
-
Argeri, M.1
Mastrolia, P.2
-
5
-
-
85114138463
-
Analytic tools for Feynman integrals, Springer
-
V.A. Smirnov, Analytic tools for Feynman integrals, Springer Tracts. Mod. Phys. 250 (2012) 1.
-
(2012)
Tracts. Mod. Phys.
, vol.250
, pp. 1
-
-
Smirnov, V.A.1
-
6
-
-
33750408079
-
New approach to evaluation of multiloop feynman integrals: The gegenbauer polynomial x space technique
-
[INSPIRE]
-
K.G. Chetyrkin, A.L. Kataev and F.V. Tkachov, New Approach to Evaluation of Multiloop Feynman Integrals: The Gegenbauer Polynomial x Space Technique, Nucl. Phys. B 174 (1980) 345 [INSPIRE].
-
(1980)
Nucl. Phys. B
, vol.174
, pp. 345
-
-
Chetyrkin, K.G.1
Kataev, A.L.2
Tkachov, F.V.3
-
7
-
-
0002872832
-
A theorem on analytical calculability of four loop renormalization group functions
-
[INSPIRE]
-
F.V. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions, Phys. Lett. B 100 (1981) 65 [INSPIRE].
-
(1981)
Phys. Lett. B
, vol.100
, pp. 65
-
-
Tkachov, F.V.1
-
8
-
-
79952211280
-
Towards a basis for planar two-loop integrals
-
[arXiv:1009.0472] [INSPIRE]
-
J. Gluza, K. Kajda and D.A. Kosower, Towards a Basis for Planar Two-Loop Integrals, Phys. Rev. D 83 (2011) 045012 [arXiv:1009.0472] [INSPIRE].
-
(2011)
Phys. Rev. D
, vol.83
, pp. 045012
-
-
Gluza, J.1
Kajda, K.2
Kosower, D.A.3
-
9
-
-
84893205019
-
Schouten identities for Feynman graph amplitudes; The Master Integrals for the two-loop massive sunrise graph
-
[arXiv:1311.3342] [INSPIRE]
-
E. Remiddi and L. Tancredi, Schouten identities for Feynman graph amplitudes; The Master Integrals for the two-loop massive sunrise graph, Nucl. Phys. B 880 (2014) 343 [arXiv:1311.3342] [INSPIRE].
-
(2014)
Nucl. Phys. B
, vol.880
, pp. 343
-
-
Remiddi, E.1
Tancredi, L.2
-
10
-
-
0034736523
-
High precision calculation of multiloop Feynman integrals by difference equations
-
[hep-ph/0102033] [INSPIRE]
-
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations, Int. J. Mod. Phys. A 15 (2000) 5087 [hep-ph/0102033] [INSPIRE].
-
(2000)
Int. J. Mod. Phys. A
, vol.15
, pp. 5087
-
-
Laporta, S.1
-
11
-
-
84879212445
-
Multiloop integrals in dimensional regularization made simple
-
[arXiv:1304.1806] [INSPIRE]
-
J.M. Henn, Multiloop integrals in dimensional regularization made simple, Phys. Rev. Lett. 110 (2013) 251601 [arXiv:1304.1806] [INSPIRE].
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 251601
-
-
Henn, J.M.1
-
12
-
-
84859609147
-
The three-loop form factor in N = 4 super Yang-Mills
-
[arXiv:1112.4524] [INSPIRE]
-
T. Gehrmann, J.M. Henn and T. Huber, The three-loop form factor in N = 4 super Yang-Mills, JHEP 03 (2012) 101 [arXiv:1112.4524] [INSPIRE].
-
(2012)
JHEP
, vol.3
, pp. 101
-
-
Gehrmann, T.1
Henn, J.M.2
Huber, T.3
-
13
-
-
84881448242
-
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
-
[arXiv:1306.2799] [INSPIRE]
-
J.M. Henn, A.V. Smirnov and V.A. Smirnov, Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation, JHEP 07 (2013) 128 [arXiv:1306.2799] [INSPIRE].
-
(2013)
JHEP
, vol.7
, pp. 128
-
-
Henn, J.M.1
Smirnov, A.V.2
Smirnov, V.A.3
-
14
-
-
84890381026
-
Analytic results for two-loop master integrals for Bhabha scattering i
-
[arXiv:1307.4083] [INSPIRE]
-
J.M. Henn and V.A. Smirnov, Analytic results for two-loop master integrals for Bhabha scattering I, JHEP 11 (2013) 041 [arXiv:1307.4083] [INSPIRE].
-
(2013)
JHEP
, vol.11
, pp. 041
-
-
Henn, J.M.1
Smirnov, V.A.2
-
16
-
-
84940252991
-
On the exponential solution of differential equations for a linear operator
-
W. Magnus, On the exponential solution of differential equations for a linear operator, Comm. Pure Appl. Math. VII (1954) 649.
-
(1954)
Comm. Pure Appl. Math.
, vol.7
, pp. 649
-
-
Magnus, W.1
-
17
-
-
0000563622
-
The radiation theories of tomonaga, schwinger and feynman
-
[INSPIRE]
-
F.J. Dyson, The Radiation theories of Tomonaga, Schwinger and Feynman, Phys. Rev. 75 (1949) 486 [INSPIRE].
-
(1949)
Phys. Rev.
, vol.75
, pp. 486
-
-
Dyson, F.J.1
-
18
-
-
58149396539
-
The Magnus expansion and some of its applications
-
[arXiv:0810.5488]
-
S. Blanes, F. Casas, J.A. Oteo and J. Ros, The Magnus expansion and some of its applications, Phys. Rep. 470 (2009) 151 [arXiv:0810.5488].
-
(2009)
Phys. Rep.
, vol.470
, pp. 151
-
-
Blanes, S.1
Casas, F.2
Oteo, J.A.3
Ros, J.4
-
19
-
-
0042174965
-
Vertex diagrams for the QED form-factors at the two loop level
-
[Erratum ibid. B 702 (2004)359] [hep-ph/0301170] [INSPIRE]
-
R. Bonciani, P. Mastrolia and E. Remiddi, Vertex diagrams for the QED form-factors at the two loop level, Nucl. Phys. B 661 (2003) 289 [Erratum ibid. B 702 (2004) 359] [hep-ph/0301170] [INSPIRE].
-
(2003)
Nucl. Phys. B
, vol.661
, pp. 289
-
-
Bonciani, R.1
Mastrolia, P.2
Remiddi, E.3
-
20
-
-
0345490623
-
QED vertex form-factors at two loops
-
[hep-ph/0307295] [INSPIRE]
-
R. Bonciani, P. Mastrolia and E. Remiddi, QED vertex form-factors at two loops, Nucl. Phys. B 676 (2004) 399 [hep-ph/0307295] [INSPIRE].
-
(2004)
Nucl. Phys. B
, vol.676
, pp. 399
-
-
Bonciani, R.1
Mastrolia, P.2
Remiddi, E.3
-
21
-
-
0001718629
-
Nonplanar massless two loop Feynman diagrams with four on-shell legs
-
[hep-ph/9909506] [INSPIRE]
-
J.B. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs, Phys. Lett. B 469 (1999) 225 [hep-ph/9909506] [INSPIRE].
-
(1999)
Phys. Lett. B
, vol.469
, pp. 225
-
-
Tausk, J.B.1
-
22
-
-
0001626271
-
The Tensor reduction and master integrals of the two loop massless crossed box with lightlike legs
-
[hep-ph/0003261] [INSPIRE]
-
C. Anastasiou, T. Gehrmann, C. Oleari, E. Remiddi and J.B. Tausk, The Tensor reduction and master integrals of the two loop massless crossed box with lightlike legs, Nucl. Phys. B 580 (2000) 577 [hep-ph/0003261] [INSPIRE].
-
(2000)
Nucl. Phys. B
, vol.580
, pp. 577
-
-
Anastasiou, C.1
Gehrmann, T.2
Oleari, C.3
Remiddi, E.4
Tausk, J.B.5
-
23
-
-
18544375308
-
Master integrals for massive two-loop bhabha scattering in QED
-
[hep-ph/0412164] [INSPIRE]
-
M. Czakon, J. Gluza and T. Riemann, Master integrals for massive two-loop bhabha scattering in QED, Phys. Rev. D 71 (2005) 073009 [hep-ph/0412164] [INSPIRE].
-
(2005)
Phys. Rev. D
, vol.71
, pp. 073009
-
-
Czakon, M.1
Gluza, J.2
Riemann, T.3
-
24
-
-
29844440069
-
Two-loop Bhabha scattering in QED
-
[hep-ph/0507047] [INSPIRE]
-
R. Bonciani and A. Ferroglia, Two-loop Bhabha scattering in QED, Phys. Rev. D 72 (2005) 056004 [hep-ph/0507047] [INSPIRE].
-
(2005)
Phys. Rev. D
, vol.72
, pp. 056004
-
-
Bonciani, R.1
Ferroglia, A.2
-
25
-
-
33746216678
-
The Planar four-point master integrals for massive two-loop Bhabha scattering
-
[hep-ph/0604101] [INSPIRE]
-
M. Czakon, J. Gluza and T. Riemann, The Planar four-point master integrals for massive two-loop Bhabha scattering, Nucl. Phys. B 751 (2006) 1 [hep-ph/0604101] [INSPIRE].
-
(2006)
Nucl. Phys. B
, vol.751
, pp. 1
-
-
Czakon, M.1
Gluza, J.2
Riemann, T.3
-
26
-
-
77953138447
-
Reduze-feynman integral reduction in C++
-
[arXiv:0912.2546] [INSPIRE]
-
C. Studerus, Reduze-Feynman Integral Reduction in C++, Comput. Phys. Commun. 181 (2010) 1293 [arXiv:0912.2546] [INSPIRE].
-
(2010)
Comput. Phys. Commun.
, vol.181
, pp. 1293
-
-
Studerus, C.1
-
29
-
-
1142303139
-
Planar box diagram for the (N(F) = 1) two loop QED virtual corrections to Bhabha scattering
-
[Erratum ibid. B 702 (2004) 364] [hep-ph/0310333] [INSPIRE]
-
R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi and J.J. van der Bij, Planar box diagram for the (N(F) = 1) two loop QED virtual corrections to Bhabha scattering, Nucl. Phys. B 681 (2004) 261 [Erratum ibid. B 702 (2004) 364] [hep-ph/0310333] [INSPIRE].
-
(2004)
Nucl. Phys. B
, vol.681
, pp. 261
-
-
Bonciani, R.1
Ferroglia, A.2
Mastrolia, P.3
Remiddi, E.4
Bij Der Van, J.J.5
-
30
-
-
0034688576
-
Harmonic polylogarithms
-
[hep-ph/9905237] [INSPIRE]
-
E. Remiddi and J.A.M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237] [INSPIRE].
-
(2000)
Int. J. Mod. Phys. A
, vol.15
, pp. 725
-
-
Remiddi, E.1
Vermaseren, J.A.M.2
-
31
-
-
0037013671
-
The Analytic value of the sunrise selfmass with two equal masses and the external invariant equal to the third squared mass
-
[hep-ph/0202123] [INSPIRE]
-
M. Argeri, P. Mastrolia and E. Remiddi, The Analytic value of the sunrise selfmass with two equal masses and the external invariant equal to the third squared mass, Nucl. Phys. B 631 (2002) 388 [hep-ph/0202123] [INSPIRE].
-
(2002)
Nucl. Phys. B
, vol.631
, pp. 388
-
-
Argeri, M.1
Mastrolia, P.2
Remiddi, E.3
-
32
-
-
31144448070
-
HPL, a mathematica implementation of the harmonic polylogarithms
-
[hep-ph/0507152] [INSPIRE]
-
D. Maître, HPL, a mathematica implementation of the harmonic polylogarithms, Comput. Phys. Commun. 174 (2006) 222 [hep-ph/0507152] [INSPIRE].
-
(2006)
Comput. Phys. Commun.
, vol.174
, pp. 222
-
-
Maître, D.1
-
33
-
-
84857820582
-
Extension of HPL to complex arguments
-
[hep-ph/0703052] [INSPIRE]
-
D. Maître, Extension of HPL to complex arguments, Comput. Phys. Commun. 183 (2012) 846 [hep-ph/0703052] [INSPIRE].
-
(2012)
Comput. Phys. Commun.
, vol.183
, pp. 846
-
-
Maître, D.1
-
34
-
-
0035501086
-
Generating Feynman diagrams and amplitudes with FeynArts 3
-
[hep-ph/0012260] [INSPIRE]
-
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
-
(2001)
Comput. Phys. Commun.
, vol.140
, pp. 418
-
-
Hahn, T.1
|