Gauge invariance and renormalization-group effects in transverse-momentum dependent parton distribution functions
I. O. Cherednikov, N. G. Stefanis
TL;DR
This paper investigates the role of Wilson lines in TMD parton distribution functions, focusing on gauge invariance, renormalization, and proposing a generalized definition involving cusped Wilson lines and Coulomb-like phases.
Contribution
It introduces a new generalized definition of TMD PDFs using cusped Wilson lines and analyzes their gauge invariance and renormalization properties in the light-cone gauge.
Findings
Wilson lines' relation to gauge invariance clarified
A generalized TMD PDF definition with cusped Wilson lines proposed
Intrinsic Coulomb-like phase identified in the new formulation
Abstract
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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Taxonomy
TopicsHigh-Energy Particle Collisions Research · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions