The Multi-Regge limit of NMHV amplitudes in N=4 SYM theory

We consider the multi-Regge limit for N=4 SYM NMHV leading color amplitudes in two different formulations: the BFKL formalism for multi-Regge amplitudes in leading logarithm approximation, and superconformal N=4 SYM amplitudes. It is shown that the two approaches agree to two-loops for the 2 → 4 and 3 → 3 six-point amplitudes. Predictions are made for the multi-Regge limit of three loop 2 → 4 and 3 → 3 NMHV amplitudes, as well as a particular sub-set of two loop 2 → 2 + n N ^k MHV amplitudes in the multi-Regge limit in the leading logarithm approximation from the BFKL point of view.