The generalized non-forward BFKL equation and the “bootstrap” condition for the gluon reggeization in the NLLA

The generalization of the BFKL equation for the case of non-forward scattering is considered. The kernel of the generalized equation in the next-to-leading approximation is expressed in terms of the gluon Regge trajectory and the effective vertices for particle production in Reggeon collisions. The “bootstrap” equations for the gluon Reggeization are presented.