  We discuss computational details of our recent result, namely, the first
derivation of the two-loop gluon Regge trajectory within the framework of
Lipatov's high energy effective action. In particular, we elaborate on the
direct evaluation of Feynman two-loop diagrams by using the Mellin-Barnes
representations technique. Our result is in precise agreement with previous
computations in the literature, providing this way a highly non-trivial test of
the effective action and the proposed subtraction and renormalization scheme
combined with our approach for the treatment of the loop diagrams.
