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2010
Some analytic results for two-loop scattering amplitudes Alday, Luis F.
Understand We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N=4 SYM.
We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be expressed as simple combinations of classical polylogarithms. Some analytic results for two-loop scattering amplitudes · Around
Built on F. Gliozzi and R. Tateo, “ADE functional dilogarithm identities and integrable models,” Phys. Lett. B 348
1995
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky and E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop and G. Travaglini, “MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops,” Nucl. Phys. B 794
Original
2008
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude,” Phys. Lett. B 662
Original
2008
Earlier work this paper cites.
Similar Z. Bern, L. J. Dixon, D. A. Kosower, R. Roiban, M. Spradlin, C. Vergu and A. Volovich, “The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory,” Phys. Rev. D 78
Original
2008
Cited alongside, same era.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Hexagon Wilson loop = six-gluon MHV amplitude,” Nucl. Phys. B 815
Original
2009
Cited alongside, same era.
C. Anastasiou, A. Brandhuber, P. Heslop, V. V. Khoze, B. Spence and G. Travaglini, “Two-Loop Polygon Wilson Loops in N=4 SYM,” JHEP 0905
Original
2009
Cited alongside, same era.
L. F. Alday and J. Maldacena, “Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space,” JHEP 0911
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, “The S-Matrix in Twistor Space,” JHEP 1003
Then N. Arkani-Hamed, F. Cachazo and C. Cheung, “The Grassmannian Origin Of Dual Superconformal Invariance,” JHEP 1003
Original
2010
Closest in time.
M. Bullimore, L. Mason and D. Skinner, “Twistor-Strings, Grassmannians and Leading Singularities,” JHEP 1003
Original
2010
Closest in time.
V. Del Duca, C. Duhr and V. A. Smirnov, “An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM,” JHEP 1003
Original
2010
Closest in time.
V. Del Duca, C. Duhr and V. A. Smirnov, “The Two-Loop Hexagon Wilson Loop in N = 4 SYM,” JHEP 1005
Original
2010
Closest in time.
L. F. Alday, J. M. Henn, J. Plefka and T. Schuster, “Scattering into the fifth dimension of N=4 super Yang-Mills,” JHEP 1001
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Cited alongside, same era.