BFKL News

Abstract

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the corrections to the BFKL kernel are expressed in terms of the two-loop contribution to the gluon Regge trajectory, the one-loop correction to the Reggeon-Reggeon-gluon vertex and the contributions from two-gluon and quark-antiquark production in Reggeon-Reggeon collisions. I present the results of the calculation of the BFKL kernel in the next-to leading logarithmic approximation, the estimate of the Pomeron shift and the next-to-leading contribution to the anomalous dimensions of twist-2 operators near $j=1$.

30 pages, latex, Talk given at "LISHEP98", LAFEX school on high energy physics, February 14-21, Rio de Janeiro, Brazil, 1998