Theory of transverse-momentum parton densities: solving the puzzle of divergences
I.O. Cherednikov

TL;DR
This paper reviews the theoretical framework of transverse-momentum dependent parton densities, addressing divergences, gauge link geometry, and soft factors to clarify their operator definitions and resolve existing ambiguities.
Contribution
It provides a comprehensive analysis of the divergences and gauge link structures in TMDs, proposing solutions to longstanding theoretical puzzles.
Findings
Clarified the role of gauge links in TMD divergences
Resolved ambiguities in operator definitions of TMDs
Outlined the impact of soft factors on TMD calculations
Abstract
The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the treatment of specific divergences, the geometry of the gauge links, and the role of the soft factors.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · High-Energy Particle Collisions Research · Quantum Chromodynamics and Particle Interactions
