Evolution of gluon TMD at low and moderate x

TL;DR

This paper investigates how the evolution of gluon transverse momentum dependent distributions transitions from nonlinear at very small x to linear at moderate x, enhancing understanding of gluon behavior across different energy regimes.

Contribution

It provides a detailed analysis of the transition from nonlinear to linear evolution of gluon TMDs across different x regimes.

Findings

Identification of the transition point between nonlinear and linear evolution.

Characterization of the evolution behavior at small and moderate x.

Implications for modeling gluon distributions in high-energy processes.

Abstract

We study how the rapidity evolution of gluon transverse momentum dependent distribution changes from nonlinear evolution at small $x\ll 1$ to linear double-logarithmic evolution at moderate $x\sim 1$.