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

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arxiv hep-ph/0011133 v1 pith:KIGUPN6H submitted 2000-11-09 hep-ph hep-th

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

classification hep-ph hep-th
keywords ms-barquarkanomalouscoefficientdimensionsfactorizationfunctionssoft
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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