The QCD evolution of TMD in the covariant approach

TL;DR

This paper proposes a covariant approach to calculate the QCD evolution of transverse momentum dependent distributions, incorporating relativistic invariance and rotational symmetry, and compares results with other methods.

Contribution

It introduces a novel covariant framework for QCD evolution of TMDs that combines collinear evolution with relativistic symmetry principles.

Findings

Results align with some existing approaches

Method provides a consistent relativistic treatment

Comparison highlights differences with other models

Abstract

The procedure for calculation of the QCD evolution of transverse momentum dependent distributions within the covariant approach is suggested. The standard collinear QCD evolution together with the requirements of relativistic invariance and rotational symmetry of the nucleon in its rest frame represent the basic ingredients of our approach. The obtained results are compared with the predictions of some other approaches.