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

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

References in corpus (2)

• Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process
• Analytic resummation for the quark form factor in QCD

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