One-loop correction to the BFKL kernel from two gluon production

We present the differential cross-section for the two-gluon production at high energy collisions in terms of the cross-section for Reggeon-Reggeon → gluon-gluon transitions integrated over the invariant mass of the Reggeons and calculate the corresponding next-to-leading contribution to the kernel of the BFKL equation using the dimensional regularization.