Rapidity factorization and evolution of gluon TMDs

TL;DR

This paper explores 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 dynamics across different regimes.

Contribution

It introduces a framework describing the change from nonlinear to linear rapidity evolution of gluon TMDs across x regimes.

Findings

Nonlinear evolution dominates at small x

Linear evolution applies at moderate x

Provides a unified description of gluon TMD evolution

Abstract

I discuss how the rapidity evolution of gluon transverse momentum dependent distribution changes from nonlinear evolution at small $x\ll 1$ to linear evolution at moderate $x\sim 1$.