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Double-logs, Gribov-Lipatov reciprocity and wrapping

By V. N. Velizhanin

Abstract

We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and A. I. Onishchenko, we have found two possible generalizations of double-logarithmic equation, which allow to predict a lot of poles of anomalous dimension of twist-2 operators at all orders of perturbative theory from the known results. Second generalization is related with the reciprocity-respecting function, which is a single-logarithmic function in this case. We have found, that the knowledge of first orders of the reciprocity-respecting function gives all-loop predictions for the highest poles. Obtained predictions can be used for the reconstruction of a general form of the wrapping corrections for twist-2 operators.Comment: 17 pages, references adde

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology
Year: 2011
DOI identifier: 10.1007/JHEP08(2011)092
OAI identifier: oai:arXiv.org:1104.4100
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