  Two main frameworks for defining transverse momentum dependent (TMD) parton
densities are the Collins-Soper-Sterman (CSS) formalism, and the Parton
Branching (PB) approach. While PB-TMDs have an explicit dependence on a single
scale which is used to evolve PB-TMDs in momentum space, TMDs defined in CSS
formalism present a double-scale evolution in renormalization and rapidity
scales, via a pair of coupled evolution equations. In this letter I leverage
the Collins-Soper kernel determined from simulated Drell Yan transverse
momentum spectra using PB-TMDs, and provide, for the first time, the
transformation of TMD parton distributions from the PB framework to the CSS
formalism. The evolved PB-TMDs in $b$-space are compared to the recently
released, unpolarized TMD distribution ART23.
