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Hexagon Wilson loop = six-gluon MHV amplitude

2008/03/31 by J. M. Drummond, J. Henn, G. P. Korchemsky +1
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.02.015

published as Nucl.Phys.B815:142-173,2009 · 34 pages, 3 figures; v2: appendix added, minor corrections made, new references inserted

arxiv created 2009/02/12 · arxiv updated 2009/12/01

Abstract

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N=4 SYM theory to all loops for an arbitrary number of external particles.

Citations