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Gauge invariance and renormalization-group effects in transverse-momentum dependent parton distribution functions

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arxiv 0711.1278 v1 pith:QZFXDYGS submitted 2007-11-08 hep-ph

Gauge invariance and renormalization-group effects in transverse-momentum dependent parton distribution functions

classification hep-ph
keywords gaugedependentdistributionfunctionsinvariancepartontransverse-momentumwilson
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A range of issues pertaining to the use of Wilson lines in integrated and transverse-momentum dependent (TMD) parton distribution functions (PDF) is discussed. The relation between gauge invariance and the renormalization properties of the Wilson-line integrals is given particular attention. Using an anomalous-dimensions based analysis in the light-cone gauge, a generalized definition of the TMD PDFs is proposed, which employs a cusped Wilson line, and contains an intrinsic "Coulomb-like" phase.

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