The five-gluon amplitude in the high-energy limit
نویسندگان
چکیده
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 multiRegge kinematics where all of the gluons are strongly ordered in rapidity. We apply the calculation of the one-loop pentagon in D = 6−2ǫ performed in a companion paper [1] to compute the one-loop five-gluon amplitude through to O(ǫ2). 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 gluonproduction vertex up to and including finite terms.
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