Transformation of transverse momentum distributions from parton branching to Collins-Soper-Sterman framework

DOI10.1016/J.PHYSLETB.2023.138182arXiv2307.06704OpenAlexW4386772546MaRDI QIDQ6055985

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Publication date: 29 September 2023

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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.

Full work available at URL: https://arxiv.org/abs/2307.06704

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