Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-10
Phys.Rev.D78:045007,2008
Physics
High Energy Physics
High Energy Physics - Theory
49 pages, RevTex, 2 figure file, v2 minor corrections
Scientific paper
10.1103/PhysRevD.78.045007
We give a representation of the parity-even part of the planar two-loop six-gluon MHV amplitude of N=4 super-Yang-Mills theory, in terms of loop-momentum integrals with simple dual conformal properties. We evaluate the integrals numerically in order to test directly the ABDK/BDS all-loop ansatz for planar MHV amplitudes. We find that the ansatz requires an additive remainder function, in accord with previous indications from strong-coupling and Regge limits. The planar six-gluon amplitude can also be compared with the hexagonal Wilson loop computed by Drummond, Henn, Korchemsky and Sokatchev in arXiv:0803.1466 [hep-th]. After accounting for differing singularities and other constants independent of the kinematics, we find that the Wilson loop and MHV-amplitude remainders are identical, to within our numerical precision. This result provides non-trivial confirmation of a proposed n-point equivalence between Wilson loops and planar MHV amplitudes, and suggests that an additional mechanism besides dual conformal symmetry fixes their form at six points and beyond.
Bern Zvi
Dixon Lance J.
Kosower David A.
Roiban Radu
Spradlin Marcus
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