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The BFKL high energy asymptotics in the next-to-leading approximation

Abstract

We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the conformal part of the kernel. Both of these effects lead to Regge-BFKL asymptotics only in the limited range of energy () and change the energy behaviour of the amplitude for higher values of energy. We confirm the oscillation in the total cross section found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO BFKL has a serious pathology.