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A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is discussed.
Numerical approach to two loop three point functions with masses
J. Fujimoto, Y. Shimizu, K. Kato, and T. Kaneko · 1995
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Handbook of Discrete and Computational Geometry
J. E. Goodman and J. O’Rourke, editors · 1997
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Techniques for QCD calculations by numerical integration
D. E. Soper · 2000
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The Analytic S-Matrix
R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne · 2002
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Automatized analytic continuation of Mellin-Barnes integrals
M. Czakon · 2006
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Numerical contour integration for loop integrals
Y. Kurihara and T. Kaneko · 2006
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AMBRE: A Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
J. Gluza, K. Kajda, and T. Riemann · 2007
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Resolution of singularities for multi-loop integrals
C. Bogner and S. Weinzierl · 2008
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Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
A. V. Smirnov and M. N. Tentyukov · 2009
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On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
A. V. Smirnov and V. A. Smirnov · 2009
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On the Numerical Evaluation of Loop Integrals With Mellin-Barnes Representations
A. Freitas and Y-C. Huang · 2010
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Numerical Computation of Two-loop Box Diagrams with Masses
F. Yuasa, E. de Doncker, N. Hamaguchi, T. Ishikawa, K. Kato, Y. Kurihara, J. Fujimoto, and Y. Shimizu · 2012
Cited alongside, same era.
Quadpack computation of Feynman loop integrals
E. de Doncker, J. Fujimoto, N. Hamaguchi, T. Ishikawa, Y. Kurihara, Y. Shimizu, and F. Yuasa · 2012
Numerical Evaluation of Multi-Loop Integrals for Arbitrary Kinematics with SecDec 2.0
S. Borowka, J. Carter, and G. Heinrich · 2013
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SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
S. Borowka, G. Heinrich, S. P. Jones, M. Kerner, J. Schlenk, and T. Zirke · 2015
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Efficient Evaluation of Massive Mellin-Barnes Integrals
J. Gluza, T. Jelinski, and D. A. Kosower · 2017
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J. Ph. Guillet, E. Pilon, Y. Shimizu, and M. S. Zidi · 2018
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J. Ph. Guillet, E. Pilon, Y. Shimizu, and M. S. Zidi · 2018
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Cited alongside, same era.
A novel approach to the computation of one-loop three- and four-point functions: I. The real mass case
J Ph Guillet, E Pilon, Y Shimizu, and M S Zidi · 2019
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