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