Heptagon Amplitude in the Multi-Regge Regime

Abstract

As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in AdS5. This insight can be developed into a systematic algorithm to compute the strong coupling limit of amplitudes in the multi-Regge regime through the solution of auxiliary Bethe Ansatz equations. We apply this procedure to compute the scattering amplitude for n=7 external gluons in different multi-Regge regions at infinite 't Hooft coupling. Our formulas are remarkably consistent with the expected form of 7-gluon Regge cut contributions in perturbative gauge theory. A full description of the general algorithm and a derivation of results will be given in a forthcoming paper.

14 pages

References in corpus (4)

• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Multi-Regge Limit of the n-Gluon Bubble Ansatz

Cited by in corpus (6)

• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Cross-Order Integral Relations from Maximal Cuts
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills