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We study a recently-proposed approach to the numerical evaluation of multi-loop Feynman integrals using available sector decomposition programs.
J. A. Lappo-Danilevsky, Théorie algorithmique des corps de Riemann
1927
Earlier work this paper cites.
S. Drell and T.-M. Yan, Massive Lepton Pair Production in Hadron-Hadron Collisions at High-Energies
1970
Earlier work this paper cites.
G. P. Lepage, A New Algorithm for Adaptive Multidimensional Integration
1978
Earlier work this paper cites.
F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
1981
Earlier work this paper cites.
K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops
1981
Earlier work this paper cites.
R. J. Gonsalves, Dimensionally regularized two loop on-shell quark form-factor
1983
Earlier work this paper cites.
R. Hamberg, W. van Neerven, and T. Matsuura, A Complete calculation of the order α s 2 \alpha_{s}^{2} correction to the Drell-Yan K K factor
1991
Earlier work this paper cites.
A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
Earlier work this paper cites.
A. Kotikov, Differential equations method: The Calculation of vertex type Feynman diagrams
1991
Earlier work this paper cites.
A. Kotikov, Differential equation method: The Calculation of N N point Feynman diagrams
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and D. A. Kosower, Dimensionally regulated one-loop integrals
1993
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and D. A. Kosower, Dimensionally regulated pentagon integrals
1994
Earlier work this paper cites.
J. A. M. Vermaseren, Axodraw
1994
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes
1997
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two-loop four-point functions
2000
Earlier work this paper cites.
T. Binoth and G. Heinrich, An automatized algorithm to compute infrared divergent multi-loop integrals
2000
Earlier work this paper cites.
S. Laporta, High precision calculation of multi-loop Feynman integrals by difference equations
2000
Earlier work this paper cites.
U. Baur, O. Brein, W. Hollik, C. Schappacher, and D. Wackeroth, Electroweak radiative corrections to neutral current Drell-Yan processes at hadron colliders
2002
Earlier work this paper cites.
S. Dittmaier and M. Krämer, Electroweak radiative corrections to W boson production at hadron colliders
2002
Earlier work this paper cites.
R. V. Harlander and W. B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders
2002
Earlier work this paper cites.
C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the
2002
Earlier work this paper cites.
U. Aglietti and R. Bonciani, Master integrals with one massive propagator for the two loop electroweak form-factor
2003
Earlier work this paper cites.
U. Baur and D. Wackeroth, Electroweak radiative corrections to p p ¯ → W ± → ℓ ± ν p\bar{p}\to W^{\pm}\to\ell^{\pm}\nu beyond the pole approximation
2004
Cited alongside, same era.
C. Anastasiou, L. J. Dixon, K. Melnikov, and F. Petriello, High precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at NNLO
2004
Cited alongside, same era.
D. Binosi and L. Theussl, JaxoDraw
2004
Cited alongside, same era.
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms
2005
Cited alongside, same era.
A. B. Goncharov, Galois symmetries of fundamental groupoids and noncommutative geometry
2005
Cited alongside, same era.
T. Hahn, CUBA
2005
Cited alongside, same era.
2013
Later among the works it cites.
S. Borowka and G. Heinrich, Massive non-planar two-loop four-point integrals with SecDec 2.1
2013
Later among the works it cites.
2014
Later among the works it cites.
E. Panzer, On hyperlogarithms and Feynman integrals with divergences and many scales
2014
Later among the works it cites.
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T. Gehrmann, T. Huber, and D. Maitre, Two-loop quark and gluon form-factors in dimensional regularisation
2005
Cited alongside, same era.
K. Melnikov and F. Petriello, The W W boson production cross section at the LHC through 𝒪 ( α s 2 ) \mathcal{O}(\alpha^{2}_{s})
2006
Cited alongside, same era.
K. G. Chetyrkin, M. Faisst, C. Sturm, and M. Tentyukov, epsilon-finite basis of master integrals for the integration-by-parts method
2006
Cited alongside, same era.
C. Bogner and S. Weinzierl, Resolution of singularities for multi-loop integrals
2008
Cited alongside, same era.
A. V. Kotikov, The Property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills · 2010
Cited alongside, same era.
2010
Cited alongside, same era.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
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2015
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R. N. Lee, Reducing differential equations for multiloop master integrals
2015
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2015
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2015
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2016
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2016
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2016
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2016
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2016
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2016
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H. Ita, Two-loop Integrand Decomposition into Master Integrals and Surface Terms
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2016
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2016
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2016
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