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We develop techniques for computing and analyzing multiple unitarity cuts of Feynman integrals, and reconstructing the integral from these cuts.
L. Landau, On analytic properties of vertex parts in quantum field theory
1959
Earlier work this paper cites.
R. Cutkosky, Singularities and discontinuities of Feynman amplitudes
1960
Earlier work this paper cites.
O. Steinmann, Über den Zusammenhang zwischen den Wightmanfunktionen und der retardierten Kommutatoren
1960
Earlier work this paper cites.
O. Steinmann, Wightman-funktionen und retardierten kommutatoren
1960
Earlier work this paper cites.
R. Feynman, Quantum theory of gravitation
1963
Earlier work this paper cites.
Cambridge at the University Press, 1966
R. Eden, P. Landshoff, D. Olive, and J. Polkinghorne, The Analytic S-Matrix · 1966
Earlier work this paper cites.
H. Stapp, Inclusive cross-sections are discontinuities
1971
Earlier work this paper cites.
San Francisco, 1972
R. Feynman, Problems in quantizing the gravitational field, and the massless yang-mills field · 1972
Earlier work this paper cites.
San Francisco, 1972
R. Feynman, Closed loop and tree diagrams · 1972
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, DIAGRAMMAR
1974
Earlier work this paper cites.
K. T. Chen, Iterated path integrals
1977
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.
E. Remiddi, Dispersion Relations for Feynman Graphs
1982
Earlier work this paper cites.
W. van Neerven, Dimensional Regularization Of Mass And Infrared Singularities In Two Loop On-Shell Vertex Functions
1986
Earlier work this paper cites.
F. Cachazo, Sharpening The Leading Singularity
1988
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: The Calculation of vertex type Feynman diagrams
1991
Earlier work this paper cites.
A. V. Kotikov, Differential equation method: The Calculation of N point Feynman diagrams
1991
Earlier work this paper cites.
P. Ball, V. M. Braun, and H. G. Dosch, Form-factors of semileptonic D decays from QCD sum rules
1991
Earlier work this paper cites.
N. Usyukina and A. I. Davydychev, Exact results for three and four point ladder diagrams with an arbitrary number of rungs
1993
Earlier work this paper cites.
N. Usyukina and A. I. Davydychev, An Approach to the evaluation of three and four point ladder diagrams
1993
Earlier work this paper cites.
M. Veltman, Diagrammatica: The Path to Feynman rules
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and D. A. Kosower, Dimensionally regulated pentagon integrals
1994
Cited alongside, same era.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes
1995
Cited alongside, same era.
M. Caffo, H. Czyz, S. Laporta, and E. Remiddi, The Master differential equations for the two loop sunrise selfmass amplitudes
1998
Cited alongside, same era.
E. Remiddi and J. Vermaseren, Harmonic polylogarithms
2000
Cited alongside, same era.
M. Y. Kalmykov and O. Veretin, Single scale diagrams and multiple binomial sums
2000
Cited alongside, same era.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions
2000
C. Bogner and S. Weinzierl, Periods and Feynman integrals
2009
Later among the works it cites.
A. B. Goncharov, M. Spradlin, C. Vergu, and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops
2010
Later among the works it cites.
D. Gaiotto, J. Maldacena, A. Sever, and P. Vieira, Pulling the straps of polygons
2011
Later among the works it cites.
R. Bonciani, G. Degrassi, and A. Vicini, On the Generalized Harmonic Polylogarithms of One Complex Variable
2011
Later among the works it cites.
J. Ablinger, J. Blumlein, and C. Schneider, Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
2011
Later among the works it cites.
L. J. Dixon, J. M. Drummond, and J. M. Henn, Bootstrapping the three-loop hexagon
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C. Anastasiou, E. N. Glover, and C. Oleari, Scalar one loop integrals using the negative dimension approach
2000
Cited alongside, same era.
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2001
Cited alongside, same era.
A. I. Davydychev and M. Y. Kalmykov, New results for the epsilon expansion of certain one, two and three loop Feynman diagrams
2001
Cited alongside, same era.
T. Birthwright, E. N. Glover, and P. Marquard, Master integrals for massless two-loop vertex diagrams with three offshell legs
2004
Cited alongside, same era.
F. C. Brown, Single-valued multiple polylogarithms in one variable
2004
Cited alongside, same era.
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2005
Cited alongside, same era.
2011
Later among the works it cites.
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2012
Later among the works it cites.
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2012
Later among the works it cites.
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2012
Later among the works it cites.
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2012
Later among the works it cites.
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Later among the works it cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, and J. Trnka, Local Integrals for Planar Scattering Amplitudes
2012
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L. J. Dixon, J. M. Drummond, and J. M. Henn, Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
2012
Later among the works it cites.
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2012
Later among the works it cites.
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2012
Later among the works it cites.
J. Ablinger, J. Blümlein, and C. Schneider, Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
2013
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J. M. Henn, Multiloop integrals in dimensional regularization made simple
2013
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J. M. Henn, A. V. Smirnov, and V. A. Smirnov, Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
2013
Later among the works it cites.
J. M. Henn and V. A. Smirnov, Analytic results for two-loop master integrals for Bhabha scattering I
2013
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2013
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L. J. Dixon, J. M. Drummond, M. von Hippel, and J. Pennington, Hexagon functions and the three-loop remainder function
2013
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2076
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