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We derive analytic results for the symbol of certain two-loop Feynman integrals relevant for seven- and eight-point two-loop scattering amplitudes in planar $\mathcal{N}=4$ super-Yang--Mills theory.
L. D. Landau, On analytic properties of vertex parts in quantum field theory , Nucl. Phys. 13
1959
Earlier work this paper cites.
O. Steinmann, Uber den Zusammenhang zwischen den Wightmanfunktionen und der retardierten Kommutatoren , Helv. Physica Acta 33
1960
Earlier work this paper cites.
O. Steinmann, Wightman-Funktionen und retardierten Kommutatoren. II , Helv. Physica Acta 33
1960
Earlier work this paper cites.
R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The analytic S-matrix . Cambridge Univ. Press, Cambridge, 1966
1966
Earlier work this paper cites.
K. E. Cahill and H. P. Stapp, OPTICAL THEOREMS AND STEINMANN RELATIONS , Annals Phys. 90
1975
Earlier work this paper cites.
E. Remiddi, Dispersion Relations for Feynman Graphs , Helv. Phys. Acta 54
1982
Earlier work this paper cites.
F. Cachazo, Sharpening The Leading Singularity , 0803.1988
1988
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation , Phys. Lett. B254
1991
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 , Nucl. Phys. B425
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes , Nucl. Phys. B435
1995
Earlier work this paper cites.
S. Bauberger and M. Bohm, Simple one-dimensional integral representations for two loop selfenergies: The Master diagram , Nucl. Phys. B445
1995
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl. Phys. B580
2000
Earlier work this paper cites.
S. Fomin and A. Zelevinsky, Cluster algebras I: Foundations , J. Amer. Math. Soc. 15
2002
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills , Nucl. Phys. B725
2005
Earlier work this paper cites.
M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals , Comput. Phys. Commun. 175
2006
Earlier work this paper cites.
2007
Earlier work this paper cites.
M. Argeri and P. Mastrolia, Feynman Diagrams and Differential Equations , Int. J. Mod. Phys. A22
2007
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals , JHEP 01
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling , JHEP 06
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron , JHEP 10
2007
Earlier work this paper cites.
2009
Earlier work this paper cites.
V. Fock and A. Goncharov, Cluster Ensembles, Quantization and the Dilogarithm , Ann. Sci. L’Ecole Norm. Sup. (2009) [ 0311245 ]
2009
Earlier work this paper cites.
2010
Earlier work this paper cites.
2010
Cited alongside, same era.
2010
Cited alongside, same era.
L. J. Dixon, J. M. Drummond and J. M. Henn, Bootstrapping the three-loop hexagon , JHEP 11
2011
Cited alongside, same era.
2011
Cited alongside, same era.
J. Golden and M. Spradlin, A Cluster Bootstrap for Two-Loop MHV Amplitudes , JHEP 02
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
C. Cheung, C.-H. Shen and J. Trnka, Simple Recursion Relations for General Field Theories , JHEP 06
2015
Later among the works it cites.
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2011
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2012
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2012
Cited alongside, same era.
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2012
Cited alongside, same era.
S. Caron-Huot and S. He, Jumpstarting the All-Loop S-Matrix of Planar N=4 Super Yang-Mills , JHEP 07
2012
Cited alongside, same era.
2013
Cited alongside, same era.
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2013
Cited alongside, same era.
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Cited alongside, same era.
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2015
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2016
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2016
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