Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory

By Z. Bern, L. Dixon, David A. Kosower, R. Roiban, M. Spradlin, C. Vergu, A. Volovich. 2008

183 citations recorded by the source corpus.

We give a representation of the parity-even part of the planar two-loop six-gluon maximally helicity violating (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 Anastasiou-Bern-Dixon-Kosower/Bern-Dixon-Smirnov 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. 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 nontrivial 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d8ec06556fc4faad135e16f0f989422b4dab9dda

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In Nuclear and High Energy Physics

1. J. Maldacena
2. P. Vieira
3. A. Sever
4. J. Drummond
5. L. Alday
6. L. Dixon
7. S. Caron-Huot
8. D. Gaiotto

Citations in the corpus

• Bootstrapping the three-loop hexagon (2011, background): “Much recent progress [32, 33, 34, 35, 36] has focused on understanding the structure of the remainder function, in part due to the fact that this same function governs the structure of scattering amplitudes, both at strong coupling [1] and in the MHV sector in perturbation theory [5, 6, 7].”