  We introduce a novel way to perform high-order computations in
multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and
generalize the existing factorization into building blocks at two loops to all
loop orders. Afterwards, we will explain how this framework can be used to
easily obtain higher-loop amplitudes from existing amplitudes and how to relate
them to amplitudes with higher number of legs.
