Analytic structure of the $n = 7$ scattering amplitude in   $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut   contribution
  In this second part of our investigation of the analytic structure of the $2\to5$ scattering amplitude in the planar limit of $\mathcal{N}=4$ SYM in multi-Regge kinematics we compute, in all kinematic regions, the Regge cut contributions in leading order. The results are infrared finite and conformally invariant. 
Jochen Bartels, Andrey Kormilitzin, Lev N.Lipatov
hep-th hep-ph