TMD PDF's: gauge invariance, RG properties and Wilson lines
I.O. Cherednikov, N.G. Stefanis
TL;DR
This paper investigates the gauge invariance and renormalization properties of TMD PDFs, analyzing UV divergences, anomalous dimensions, and the role of Glauber gluons, proposing a generalized renormalization approach.
Contribution
It introduces a new renormalization procedure for TMD PDFs based on contour-dependent operators, addressing gauge invariance and divergence issues.
Findings
UV divergences and anomalous dimensions are calculated in light-cone gauge.
Time-reversal-odd effects are identified in anomalous dimensions.
Glauber gluons play a significant role in the renormalization of TMD PDFs.
Abstract
The UV divergences associated with transverse-momentum dependent (TMD) parton distribution functions (PDF) are calculated together with the ensuing one-loop anomalous dimensions in the light-cone gauge. Time-reversal-odd effects in the anomalous dimensions are observed and the role of Glauber gluons is discussed. A generalized renormalization procedure of TMD PDFs is proposed, relying upon the renormalization of contour-dependent operators with obstructions.
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