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arXiv · 2205.03119

Rapidity evolution of TMDs with running coupling

Ian Balitsky·Giovanni A. Chirilli
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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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Ian Balitsky, Giovanni A. Chirilli. 2022-05-06. Rapidity evolution of TMDs with running coupling. https://doi.org/10.1103/physrevd.106.034007

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