The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory

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dc.creatorBern, Z.
dc.creatorDixon, L. J.
dc.creatorKosower, D. A.
dc.creatorRoiban, R.
dc.creatorSpradlin, M.
dc.creatorVergu, C.
dc.creatorVolovich, A.
dc.date2008-03-10
dc.date2008-08-26
dc.date.accessioned2026-07-07T11:48:59Z
dc.date.available2026-07-07T11:48:59Z
dc.descriptionWe 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.
dc.description49 pages, RevTex, 2 figure file, v2 minor corrections
dc.identifierhttps://arxiv.org/abs/0803.1465
dc.identifierhttp://arxiv.org/abs/0803.1465
dc.identifierPhys.Rev.D78:045007,2008
dc.identifierdoi:10.1103/PhysRevD.78.045007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203080
dc.subjectHigh Energy Physics - Theory
dc.titleThe Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
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