Hexagon Wilson loop = six-gluon MHV amplitude Original Research Article

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 image SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich () 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 image SYM theory to all loops for an arbitrary number of external particles.