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arXiv · 0710.1955

Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions

I. O. Cherednikov·N. G. Stefanis
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Abstract

We perform an analysis of transverse-momentum dependent parton distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the light-cone gauge, associated with such quantities, is a cusped one. To cancel the ensuing cusp anomalous dimension, we include in the definition of the transverse-momentum dependent parton distribution functions an additional soft counter term (gauge link) along that contour. We demonstrate that this is tantamount to an ``intrinsic (Coulomb) phase'', which accumulates the full gauge history of the color-charged particle.

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I. O. Cherednikov, N. G. Stefanis. 2008-05-01. Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions. https://doi.org/10.1103/physrevd.77.094001

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