New results on gauge-invariant TMD PDFs in QCD

Details New results on gauge-invariant TMD PDFs in QCD New results on gauge-invariant TMD PDFs in QCD

2008-09-08

arxiv.org/abs/0809.1315v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures. Talk presented by the first author at 15th International Seminar on High Energy Physics QUARKS-2008, Sergi

Scientific paper

The renormalization properties of unintegrated (transverse-momentum dependent) parton distribution functions (TMD PDF's) are used for analyzing their completely gauge-invariant definition. To this end, the UV anomalous dimension is calculated at the one-loop order in the light-cone gauge and a consistent treatment of the extra singularities, which produce undesirable contributions in the anomalous dimensions, is given. The generalized definition of a TMD PDF, based on the renormalization procedure for the Wilson exponentials with obstructions, is proposed. The reduction of the re-defined TMD PDF to the integrated PDF's, as well as their probabilistic interpretation, are discussed.

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