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After a brief review of the BFKL approach to Regge processes in QCD and insupersymmetric (SUSY) gauge theories we propose a strategy for calculating thenext-to-next-to-leading order corrections to the BFKL kernel. They can beobtained in terms of various cross-sections for Reggeized gluon interactions.The corresponding amplitudes can be calculated in the framework of theeffective action for high energy scattering. In the case of N=4 SUSY it is alsopossible to use the Bern-Dixon-Smirnov (BDS) ansatz. For this purpose theanalytic properties of the BDS amplitudes at high energies are investigated, inorder to verify their self-consistency. It is found that, for the number ofexternal particles being larger than five, these amplitudes, beyond one loop,are not in agreement with the BFKL approach which predicts the existence ofRegge cuts in some physical channels.

BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes