2011

OPE for Super Loops

Sever, Amit, Vieira, Pedro, Wang, Tianheng

Understand

We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes.

We explain how the known tree level amplitudes can be promoted into an infinite amount of data at any loop order in the OPE picture.
As an application, we re-derive all one loop NMHV six gluon amplitudes by promoting their tree level expressions.
We also present some new all loops predictions for these amplitudes.

Built on

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Similar

A. V. Belitsky, A. S. Gorsky and G. P. Korchemsky, “Logarithmic scaling in gauge/string correspondence,” Nucl. Phys. B 748
Original
2008
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.
R. Britto, F. Cachazo and B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys. B 715
Original
2009
Cited alongside, same era.
J. M. Drummond and J. M. Henn, “All tree-level amplitudes in N=4 SYM,” JHEP
Original
2009
Cited alongside, same era.
L. J. Mason, D. Skinner, “The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space,” JHEP 1012
Original
2010
Cited alongside, same era.
V. Del Duca, C. Duhr and V. A. Smirnov, “A Two-Loop Octagon Wilson Loop in N = 4 SYM,” JHEP 1009
Original
2010
Cited alongside, same era.
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
Cited alongside, same era.
L. F. Alday, D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, “An Operator Product Expansion for Polygonal null Wilson Loops,” [arXiv:1006.2788 [hep-th]]
Original
Cited in the paper.
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M. Bullimore and D. Skinner, “Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space,” arXiv:1101.1329 [hep-th]. ∙ \bullet A. V. Belitsky, G. P. Korchemsky and E. Sokatchev, “Are scattering amplitudes dual to super Wilson loops?,” arXiv:1103.3008 [hep-th]
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Then

A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, “Classical Polylogarithms for Amplitudes and Wilson Loops,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Generalized unitarity for N=4 super-amplitudes,” arXiv:0808.0491 [hep-th]. ∙ \bullet A. Brandhuber, P. Heslop and G. Travaglini, “One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry,” JHEP 0908
Original
2010
Later among the works it cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory,” Nucl. Phys. B
Original
2010
Later among the works it cites.
M. Bullimore, L. J. Mason and D. Skinner, “MHV Diagrams in Momentum Twistor Space,” JHEP
Original
2010
Later among the works it cites.
H. Elvang, D. Z. Freedman and M. Kiermaier, “Solution to the Ward Identities for Superamplitudes,” JHEP
Original
2010
Later among the works it cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, “The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM,” JHEP 1101
Original
2011
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