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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Bibliographic Details
Published in:arXiv.org 2023-08
Main Author: Armando Bermudez Martinez
Format: Article
Language:English
Subjects:
Evolution
Formalism
Partons
Transverse momentum
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.
ISSN:2331-8422
DOI:10.48550/arxiv.2307.06704