Renormalization-group anatomy of transverse-momentum dependent parton distribution functions in QCD

Details Renormalization-group anatomy of transverse-momentum dependent parton distribution functions in QCD Renormalization-group anatomy of transverse-momentum dependent parton distribution functions in QCD

2009-10-16

arxiv.org/abs/0910.3108v1

Mod.Phys.Lett.A24:2913-2923,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures; needs ws-mpla-hep.cls (supplied). Talk presented by the first author at Workshop on "Recent Advances in P

Scientific paper

10.1142/S0217732309001121

The ultraviolet and rapidity divergences of transverse-momentum dependent parton distribution functions with lightlike and transverse gauge links is studied, also incorporating a soft eikonal factor. We find that in the light-cone gauge with $q^-$-independent pole prescriptions extra divergences appear which amount, at one-loop, to a cusp-like anomalous dimension. We show that such contributions are absent when the Mandelstam-Leibbrandt prescription is used. In the first case, the soft factor cancels the anomalous-dimension defect, while in the second case its ultraviolet-divergent part reduces to unity.

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