The Quark Part of the Non-forward Bfkl Kernel and the “bootstrap” for the Gluon Reggeization

We calculate the quark part of the kernel of the generalized non-forward BFKL equation at non-zero momentum transfer t in the next-to-leading logarithmic approximation. Along with the quark contribution to the gluon Regge trajectory, this part includes pieces coming from the quark-antiquark production and from the quark contribution to the radiative corrections in one-gluon production in the Reggeon-Reggeon collisions. The results obtained can be used for an arbitrary representation of the colour group in the t−channel. Using the results for the adjoint representation, we demonstrate explicitly the fulfillment of the “bootstrap” condition for the gluon Reggeization in the next-to-leading logarithmic approximation in the part concerning the quark contribution. Work supported in part by the Ministero italiano dell’Università e della Ricerca Scientifica e Tecnologica, in part by INTAS and in part by the Russian Fund of Basic Researches. email address: FADIN @INP.NSK.SU email address: FIORE, PAPA @FIS.UNICAL.IT