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

Transformation of transverse momentum distributions from Parton Branching to Collins-Soper-Sterman framework