One-loop Reggeon-Reggeon-gluon vertex at arbitrary space-time dimension - art. no. 034001

In order to check the compatibility of gluon Reggeization in QCD with s-cha nnel unitarity, the one-loop correction to the Reggeon-Reggeon-gluon vertex must be known at arbitrary space-time dimension D. We obtain this correcti on from the gluon production amplitude in multi-Regge kinematics and presen t an explicit expression for it in terms of a few integrals over the transv erse momenta of virtual particles. The one-gluon contribution to the nonfor ward Balitskii-Fadin-Kuraev-Lipatov (BFKL) kernel at arbitrary D is also ob tained.