-
1
-
-
68949127199
-
The ultraviolet behavior of N = 8 supergravity at four loops
-
arXiv:0905.2326
-
Z. Bern, J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The ultraviolet behavior of N = 8 supergravity at four loops, Phys. Rev. Lett. 103 (2009) 081301 arXiv:0905.2326.
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 081301
-
-
Bern, Z.1
Carrasco, J.2
Dixon, L.J.3
Johansson, H.4
Roiban, R.5
-
2
-
-
78651317930
-
The complete four-loop four-point amplitude in n = 4 super-yang-mills theory
-
arXiv:1008.3327
-
Z. Bern, J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The complete four-loop four-point amplitude in N = 4 super-Yang-Mills theory, Phys. Rev. D 82 (2010) 125040 arXiv:1008.3327.
-
(2010)
Phys. Rev. D
, vol.82
, pp. 125040
-
-
Bern, Z.1
Carrasco, J.2
Dixon, L.J.3
Johansson, H.4
Roiban, R.5
-
3
-
-
84861622104
-
Absence of three-loop four-point divergences in N = 4 supergravity
-
arXiv:1202.3423
-
Z. Bern, S. Davies, T. Dennen and Y.-t. Huang, Absence of three-loop four-point divergences in N = 4 supergravity, Phys. Rev. Lett. 108 (2012) 201301 arXiv:1202.3423.
-
(2012)
Phys. Rev. Lett.
, vol.108
, pp. 201301
-
-
Bern, Z.1
Davies, S.2
Dennen, T.3
Huang, Y.-T.4
-
4
-
-
80755187641
-
Generic multiloop methods and application to N = 4 super-Yang-Mills
-
arXiv:1103.3298
-
J.J.M. Carrasco and H. Johansson, Generic multiloop methods and application to N = 4 super-Yang-Mills, J. Phys. A 44 (2011) 454004 arXiv:1103.3298.
-
(2011)
J. Phys. A
, vol.44
, pp. 454004
-
-
Carrasco, J.J.M.1
Johansson, H.2
-
5
-
-
0000632007
-
One loop n point gauge theory amplitudes, unitarity and collinear limits
-
hep-ph/9403226
-
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 hep-ph/9403226.
-
(1994)
Nucl. Phys. B
, vol.425
, pp. 217
-
-
Bern, Z.1
Dixon, L.J.2
Dunbar, D.C.3
Kosower, D.A.4
-
6
-
-
0003149712
-
Fusing gauge theory tree amplitudes into loop amplitudes
-
hep-ph/9409265
-
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 hep-ph/9409265.
-
(1995)
Nucl. Phys. B
, vol.435
, pp. 59
-
-
Bern, Z.1
Dixon, L.J.2
Dunbar, D.C.3
Kosower, D.A.4
-
7
-
-
24344485193
-
Generalized unitarity and one-loop amplitudes in n = 4 super-yang-mills
-
hep-th/0412103
-
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 hep-th/0412103.
-
(2005)
Nucl. Phys. B
, vol.725
, pp. 275
-
-
Britto, R.1
Cachazo, F.2
Feng, B.3
-
8
-
-
33846011109
-
Reducing full one-loop amplitudes to scalar integrals at the integrand level
-
hep-ph/0609007
-
G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 hep-ph/0609007.
-
(2007)
Nucl. Phys. B
, vol.763
, pp. 147
-
-
Ossola, G.1
Papadopoulos, C.G.2
Pittau, R.3
-
9
-
-
81255169889
-
On the integrand-reduction method for two-loop scattering amplitudes
-
arXiv:1107.6041
-
P. Mastrolia and G. Ossola, On the integrand-reduction method for two-loop scattering amplitudes, JHEP 11 (2011) 014 arXiv:1107.6041.
-
(2011)
JHEP
, vol.11
, pp. 014
-
-
Mastrolia, P.1
Ossola, G.2
-
10
-
-
84857767027
-
Maximal unitarity at two loops
-
arXiv:1108.1180
-
D.A. Kosower and K.J. Larsen, Maximal unitarity at two loops, Phys. Rev. D 85 (2012) 045017 arXiv:1108.1180.
-
(2012)
Phys. Rev. D
, vol.85
, pp. 045017
-
-
Kosower, D.A.1
Larsen, K.J.2
-
11
-
-
84860289210
-
Hepta-cuts of two-loop scattering amplitudes
-
arXiv:1202.2019
-
S. Badger, H. Frellesvig and Y. Zhang, Hepta-cuts of two-loop scattering amplitudes, JHEP 04 (2012) 055 arXiv:1202.2019.
-
(2012)
JHEP
, vol.4
, pp. 055
-
-
Badger, S.1
Frellesvig, H.2
Zhang, Y.3
-
17
-
-
0000312317
-
Integration by parts: The algorithm to calculate β-functions in 4 loops
-
K. Chetyrkin and F. Tkachov, Integration by parts: the algorithm to calculate β-functions in 4 loops, Nucl. Phys. B 192 (1981) 159.
-
(1981)
Nucl. Phys. B
, vol.192
, pp. 159
-
-
Chetyrkin, K.1
Tkachov, F.2
-
18
-
-
0000290661
-
Differential equations for two loop four point functions
-
hep-ph/9912329
-
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions, Nucl. Phys. B 580 (2000) 485 hep-ph/9912329.
-
(2000)
Nucl. Phys. B
, vol.580
, pp. 485
-
-
Gehrmann, T.1
Remiddi, E.2
-
19
-
-
79952211280
-
Towards a basis for planar two-loop integrals
-
arXiv:1009.0472
-
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.
-
(2011)
Phys. Rev. D
, vol.83
, pp. 045012
-
-
Gluza, J.1
Kajda, K.2
Kosower, D.A.3
-
20
-
-
84857314269
-
A new algorithm for the generation of unitarity-compatible integration by parts relations
-
arXiv:1111.4220
-
R.M. Schabinger, A new algorithm for the generation of unitarity-compatible integration by parts relations, JHEP 01 (2012) 077 arXiv:1111.4220.
-
(2012)
JHEP
, vol.1
, pp. 077
-
-
Schabinger, R.M.1
-
21
-
-
0034736523
-
High precision calculation of multiloop Feynman integrals by difference equations
-
hep-ph/0102033
-
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations, Int. J. Mod. Phys. A 15 (2000) 5087 hep-ph/0102033.
-
(2000)
Int. J. Mod. Phys. A
, vol.15
, pp. 5087
-
-
Laporta, S.1
-
22
-
-
23044512961
-
Automatic integral reduction for higher order perturbative calculations
-
hep-ph/0404258
-
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations, JHEP 07 (2004) 046 hep-ph/0404258.
-
(2004)
JHEP
, vol.7
, pp. 046
-
-
Anastasiou, C.1
Lazopoulos, A.2
-
23
-
-
58149280611
-
Algorithm fire-feynman integral reduction
-
arXiv:0807.3243
-
A. Smirnov, Algorithm FIRE-Feynman Integral REduction, JHEP 10 (2008) 107 arXiv:0807.3243.
-
(2008)
JHEP
, vol.10
, pp. 107
-
-
Smirnov, A.1
-
24
-
-
77953138447
-
Reduze-Feynman integral reduction in C++
-
arXiv:0912.2546
-
C. Studerus, Reduze-Feynman integral reduction in C++, Comput. Phys. Commun. 181 (2010) 1293 arXiv:0912.2546.
-
(2010)
Comput. Phys. Commun.
, vol.181
, pp. 1293
-
-
Studerus, C.1
-
26
-
-
49749113761
-
An automated implementation of on-shell methods for one-loop amplitudes
-
arXiv:0803.4180
-
C. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev. D 78 (2008) 036003 arXiv:0803.4180.
-
(2008)
Phys. Rev. D
, vol.78
, pp. 036003
-
-
Berger, C.1
-
27
-
-
47249096199
-
Optimizing the reduction of one-loop amplitudes
-
arXiv:0803.3964
-
P. Mastrolia, G. Ossola, C. Papadopoulos and R. Pittau, Optimizing the reduction of one-loop amplitudes, JHEP 06 (2008) 030 arXiv:0803.3964.
-
(2008)
JHEP
, vol.6
, pp. 030
-
-
Mastrolia, P.1
Ossola, G.2
Papadopoulos, C.3
Pittau, R.4
-
29
-
-
0041736135
-
Analytical result for dimensionally regularized massless on shell planar triple box
-
hep-ph/0305142
-
V.A. Smirnov, Analytical result for dimensionally regularized massless on shell planar triple box, Phys. Lett. B 567 (2003) 193 hep-ph/0305142.
-
(2003)
Phys. Lett. B
, vol.567
, pp. 193
-
-
Smirnov, V.A.1
-
30
-
-
29744435695
-
Iteration of planar amplitudes in maximally supersymmetric yang-mills theory at three loops and beyond
-
hep-th/0505205
-
Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 hep-th/0505205.
-
(2005)
Phys. Rev. D
, vol.72
, pp. 085001
-
-
Bern, Z.1
Dixon, L.J.2
Smirnov, V.A.3
|