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Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization

arXiv:hep-ph/0011133 · doi:10.1016/S0370-2693(01)00742-0

Abstract

The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross sections for deep inelastic scattering and Drell-Yan. The result is then used to write the MS-bar quark coefficient functions in a form in which all terms of $O(\ln^m N)$ are resummed.

12 pages