Rapidity evolution of TMDs with running coupling
Ian Balitsky, Giovanni A. Chirilli
TL;DR
This paper calculates the optimal scale for the coupling constant in rapidity evolution of TMDs, providing solutions for quark and gluon distributions in the Sudakov region.
Contribution
It introduces a BLM-based method to determine the coupling scale for rapidity evolution of TMDs, enhancing theoretical precision.
Findings
Effective coupling argument is midway between transverse momentum and energy scales.
Derived and solved the rapidity-only evolution equations for quark and gluon TMDs.
Improves understanding of TMD evolution in the Sudakov kinematic region.
Abstract
The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie (BLM) optimal scale setting. The effective argument of a coupling constant is halfway in the logarithmical scale between the transverse momentum and energy of TMD distribution. The resulting rapidity-only evolution equation is solved for quark and gluon TMDs.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Particle physics theoretical and experimental studies