On the discrepancy of the low-x evolution kernels

Abstract

It is shown that in the case of the forward scattering the most part of the difference between the Möbius form of the BFKL kernel and the BK kernel in the next-to-leading order (NLO) can be eliminated by the transformation related to the choice of the energy scale in the representation of scattering amplitudes. Change of the nonforward BFKL kernel under this transformation is derived as well. The functional identity of the forward BFKL kernel in the momentum and Möbius representations in the leading order (LO) is exhibited and its NLO validity in N=4 supersymmetric Yang-Mills theory is proved.

38 pages

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Cited by in corpus (8)

• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
• NLO evolution of 3-quark Wilson loop operator
• Matching of the low-x evolution kernels
• Connection between complete and Moebius forms of gauge invariant operators
• On the solution to the NLO forward BFKL equation
• Difference between standard and quasi-conformal BFKL kernels
• On the low-x NLO evolution of 4 point colorless operators
• Structure Functions and Low-x -- Working Group Summary