The five-gluon amplitude in the high-energy limit

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.

24 pages, 1 figure

References in corpus (5)

• Conformal properties of four-gluon planar amplitudes and Wilson loops
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Iterated amplitudes in the high-energy limit
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory

Cited by in corpus (3)

• Towards a Basis for Planar Two-Loop Integrals
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory