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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Latex, 26 pages, typos corrected, to be published in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(00)00329-1

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 \gamma 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 non-analytic in n are canceled. We discuss the relation between the DGLAP and BFKL equations in the N=4 model.

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