Transformation of transverse momentum distributions from Parton Branching to Collins-Soper-Sterman framework
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...
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Published in | arXiv.org |
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Main Author | |
Format | Paper Journal Article |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
25.08.2023
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Subjects | |
Online Access | Get full text |
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Summary: | 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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Bibliography: | CERN-OPEN-2023-016 |
ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2307.06704 |