  Parton Reggeization approach is the scheme of kT-factorization for multiscale
hard processes, which is based on the Lipatov's gauge invariant effective field
theory (EFT) for high energy processes in QCD. The new type of rapidity
divergences, associated with the log 1/x-corrections, appears in the loop
corrections in this formalism. The covariant procedure of regularization of
rapidity divergences, preserving the gauge invariance of effective action is
described. As an example application, the one-loop correction to the propagator
of Reggeized quark and gamma Q q -scattering vertex are computed. Obtained
results are used to construct the Regge limit of one-loop gamma+gamma -> q +
barq amplitude. The cancelation of rapidity divergences and consistency of the
EFT prediction with the full QCD result is demonstrated. The rapidity
renormalization group within the EFT is discussed.
