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arXiv · 0905.0100

The five-gluon amplitude in the high-energy limit

Vittorio Del Duca·Claude Duhr·E. W. Nigel Glover
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Abstract

We consider the high energy limit of the colour ordered one-loop five-gluon amplitude in the planar maximally supersymmetric N=4 Yang-Mills theory in the multi-Regge kinematics where all of the gluons are strongly ordered in rapidity. We apply the calculation of the one-loop pentagon in D=6-2 eps performed in a companion paper to compute the one-loop five-gluon amplitude through to O(eps^2). Using the factorisation properties of the amplitude in the high-energy limit, we extract the one-loop gluon-production vertex to the same accuracy, and, by exploiting the iterative structure of the gluon-production vertex implied by the BDS ansatz, we perform the first computation of the two-loop gluon-production vertex up to and including finite terms.

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Vittorio Del Duca, Claude Duhr, E. W. Nigel Glover. 2009-05-01. The five-gluon amplitude in the high-energy limit. https://doi.org/10.1088/1126-6708/2009/12/023

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