We present the differential cross-section for the two-gluon production
at high energy collisions in terms of the cross-section for Reggeon-R
eggeon --> gluon-gluon transitions integrated over the invariant mass
of the Reggeons and calculate the corresponding next-to-leading contri
bution to the kernel of the BFKL equation using the dimensional regula
rization, (C) 1997 Published by Elsevier Science B.V.