Rapidity evolution of TMDs with running coupling

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.

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

References in corpus (8)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Sudakov Resummation in Small-x Saturation Formalism
• NLO evolution of color dipoles in N=4 SYM
• Connecting Different TMD Factorization Formalisms in QCD
• Higher-twist corrections to gluon TMD factorization

Cited by in corpus (1)

• Rapidity-only TMD factorization at one loop