Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA

The multi-Regge form of QCD amplitudes with gluon exchanges is proved in the next-to-leading approximation. The proof is based on the bootstrap relations, which are required for the compatibility of this form with the s-channel unitarity. We show that the fulfillment of all these relations ensures the reggeized form of energy dependent radiative corrections order by order in perturbation theory. Then we prove that all these relations are fulfilled if several bootstrap conditions on the reggeon vertices and trajectory hold true. Now all these conditions are checked and proved to be satisfied.