NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories Original Research Article

We study next-to-leading corrections to the integral kernel of the BFKL equation for high-energy cross-sections in QCD and in supersymmetric gauge theories. The eigenvalue of the BFKL kernel is calculated in an analytic form as a function of the anomalous dimension γ of the local gauge-invariant operators and their conformal spin n. For the case of an extended N=4 SUSY, the kernel is significantly simplified. In particular, the terms nonanalytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.