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arXiv · 2307.06704

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

Armando Bermudez Martinez
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Abstract

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.

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Armando Bermudez Martinez. 2023-07-13. Transformation of transverse momentum distributions from Parton Branching to Collins-Soper-Sterman framework. https://doi.org/10.1016/j.physletb.2023.138182

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