Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
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We study the S-matrix of planar = 4 supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for tree and loop amplitudes in two-dimensional kinematics, in particular, the higher-point amplitudes we consider can be obtained from those with lowest-points by a collinear uplifting. Based on a compact formula for one-loop N(2)MHV amplitudes, we use an equation proposed previously to compute, for the first time, the complete two-loop NMHV and three-loop MHV octagons, which we conjecture to uplift to give the full n-point amplitudes up to simpler logarithmic terms or dilogarithmic terms.
Original language | English |
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Article number | 1308 |
Journal | Journal of High Energy Physics (Online) |
Volume | 2013 |
Issue number | 101 |
Number of pages | 38 |
ISSN | 1126-6708 |
Publication status | Published - 13 May 2013 |
ID: 104031533