Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-02-20
Nucl.Phys.B802:146-179,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
v1: 33 pages, 10 figures with 11 eps files embedded; v2: typos corrected, some remarks on Mandelstam-Leibbrandt prescription i
Scientific paper
10.1016/j.nuclphysb.2008.05.011
The renormalization-group properties of gauge-invariant transverse-momentum dependent (TMD) parton distribution functions (PDF) in QCD are addressed. We perform an analysis of their leading-order anomalous dimensions, which are local quantities, making use of the renormalization properties of contour-dependent composite operators in QCD. We argue that attaching individual gauge links with transverse segments to quark fields in the light-cone gauge, the associated gauge contours are joined at light-cone infinity through a cusp-like junction point. We find that the renormalization effect on the junction point creates an anomalous dimension which has to be compensated in order to recover the results in a covariant gauge. To this end, we include in the definition of the TMD PDF an additional soft counter term (gauge link) along that cusped contour. We show that the eikonal factors entering this counter term are peculiar to the Mandelstam field formalism and are absent when one uses a direct gauge contour.
Cherednikov Igor O.
Stefanis N. G.
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