Analytic structure of the n=7 scattering amplitude in N=4 SYM theory in the multi-Regge kinematics: Conformal Regge pole contribution

We investigate the analytic structure of the 2→5 production amplitude in the planar limit of N=4 SYM in the multi-Regge kinematics in all physical regions. We demonstrate the close connection between Regge pole and Regge cut contributions: in a selected class of kinematic regions (Mandelstam regions), the usual factorizing Regge pole formula develops unphysical singularities that have to be absorbed and compensated by Regge cut contributions. This leads, in the corrections to the Bern-Dixon-Smirnov formula, to conformal invariant "renormalized" Regge pole expressions in the remainder function. We compute these renormalized Regge poles for the 2→5 production amplitude. © 2014 American Physical Society.