Open Access. Powered by Scholars. Published by Universities.®

Quantum Physics Commons

Open Access. Powered by Scholars. Published by Universities.®

Nuclear

Physics Faculty Publications

2022

Evolution equations of Quark TMD

Articles 1 - 1 of 1

Full-Text Articles in Quantum Physics

Rapidity Evolution Of Tmds With Running Coupling, Ian Balitsky, Giovanni A. Chirilli Jan 2022

Rapidity Evolution Of Tmds With Running Coupling, Ian Balitsky, Giovanni A. Chirilli

Physics Faculty Publications

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 optimal scale setting [S. J. Brodsky et al., Phys. Rev. D 28, 228 (1983).]. 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.