The five-gluon amplitude in the high-energy limit
(2009) The Journal of High Energy Physics — n° 12 (2009)
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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 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 epsilon performed in a companion paper [1] to compute the one-loop five-gluon amplitude through to O(epsilon(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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Del Duca, V., Duhr, C., & Glover, E. W. N. (2009). The five-gluon amplitude in the high-energy limit. The Journal of High Energy Physics, 12. https://doi.org/10.1088/1126-6708/2009/12/023 (Original work published 2009)