English

Rapidity evolution of TMDs with running coupling

High Energy Physics - Phenomenology 2022-08-17 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2205.03119,
  title  = {Rapidity evolution of TMDs with running coupling},
  author = {Ian Balitsky and Giovanni A. Chirilli},
  journal= {arXiv preprint arXiv:2205.03119},
  year   = {2022}
}

Comments

It matches the published version: appendix extended, 1 figure added, typos corrected; 40 pages, 9 figures

R2 v1 2026-06-24T11:09:08.404Z