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The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude

2008; Elsevier BV; Volume: 662; Issue: 5 Linguagem: Inglês

10.1016/j.physletb.2008.03.032

ISSN

1873-2445

Autores

J. M. Drummond, Johannes M. Henn, G.P. Korchemsky, E. Sokatchev,

Tópico(s)

Quantum Chromodynamics and Particle Interactions

Resumo

As a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N=4 super Yang-Mills theory. We compare its finite part to the Bern-Dixon-Smirnov (BDS) conjecture for the finite part of the six-gluon amplitude. We find that the two expressions have the same behavior in the collinear limit, but they differ by a non-trivial function of the three (dual) conformally invariant variables. This implies that either the BDS conjecture or the gluon amplitude/Wilson loop duality fails for the six-gluon amplitude, starting from two loops. Our results are in qualitative agreement with the analysis of Alday and Maldacena of scattering amplitudes with infinitely many external gluons.

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