Analytic structure of the 8-point scattering amplitude in multi-Regge kinematics in N = 4 SYM. Conformal Regge pole and Regge cut contributions

Continuing our investigations of the analytic structure of the 2 $\to$ n scattering amplitudes in the planar limit of N = 4 SYM in multi-Regge kinematics we compute, in all kinematic regions, the Regge cut contributions of the 2 $\to$ 6 process in leading order. Compared to previous studies of the 2 $\to$ 4 and the 2 $\to$ 5 processes we encounter two new features: the 3-reggon cut and the product of two 2-reggeon cut contributions.