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We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension.
doi:10.1017/CBO9780511608759
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J. Gluza, K. Kajda, D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals, Phys.Rev. D83 (2011) 045012 · 2011
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S. Badger, H. Frellesvig, Y. Zhang, Hepta-Cuts of Two-Loop Scattering Amplitudes, JHEP 1204 (2012) 055 · 2012
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R. N. Lee, V. A. Smirnov, The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions, JHEP 12 (2012) 104 · 2012
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P. Mastrolia, E. Mirabella, G. Ossola, T. Peraro, Integrand-Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division, Phys.Rev. D87 (2013) 085026 · 2013
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M. Sogaard, Y. Zhang, Elliptic Functions and Maximal Unitarity, Phys. Rev. D91 (8) (2015) 081701 · 2015
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H. Johansson, D. A. Kosower, K. J. Larsen, M. Søgaard, Cross-Order Integral Relations from Maximal Cuts, Phys. Rev. D92 (2) (2015) 025015 · 2015
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Y. Zhang, Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry , 2016 · 2016
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S. Badger, G. Mogull, T. Peraro, Local integrands for two-loop all-plus Yang-Mills amplitudes, JHEP 08 (2016) 063 · 2016
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P. Mastrolia, T. Peraro, A. Primo, Adaptive Integrand Decomposition in parallel and orthogonal space, JHEP 08 (2016) 164 · 2016
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J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider, Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra, Comput. Phys. Commun. 202 (2016) 33–112 · 2016
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A. Primo, L. Tancredi, On the maximal cut of Feynman integrals and the solution of their differential equations, Nucl. Phys. B916 (2017) 94–116 · 2016
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K. J. Larsen, Y. Zhang, Integration-by-parts reductions from unitarity cuts and algebraic geometry, Phys. Rev. D93 (4) (2016) 041701 · 2016
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L. Adams, C. Bogner, S. Weinzierl, The iterated structure of the all-order result for the two-loop sunrise integral, J. Math. Phys. 57 (3) (2016) 032304 · 2016
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E. Remiddi, L. Tancredi, Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral, Nucl. Phys. B907 (2016) 400–444 · 2016
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L. Adams, E. Chaubey, S. Weinzierl, Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms, Phys. Rev. Lett. 118 (14) (2017) 141602 · 2017
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G. Passarino, Elliptic Polylogarithms and Basic Hypergeometric Functions, Eur. Phys. J. C77 (2) (2017) 77 · 2017
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