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Title The resolution to the problem of consistent large transverse momentum in TMDs
Authors Ted Rogers, Tommaso Rainaldi, Jose Gonzalez Hernandez
JLAB number JLAB-THY-23-3771
LANL number (None)
Other number DOE/OR/23177-5781
Document Type(s) (Journal Article) 
Associated with EIC: Yes
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:European Union’s Horizon 2020 research & innovatio
 

Journal
Compiled for Physical Review D
Volume 107
Page(s) 094029
Publication Abstract: Parametrizing TMD parton densities and fragmentation functions in ways that consistently match their large transverse momentum behavior in standard collinear factorization has remained notoriously difficult. We show how the problem is solved in a recently introduced set of steps for combining perturbative and nonperturbative transverse momentum in TMD factorization. Called a ``bottom-up'' approach in a previous article, here we call it a ``hadron structure oriented'' (HSO) approach to emphasize its focus on preserving a connection to the TMD parton model interpretation. We show that the associated consistency constraints improve considerably the agreement between parametrizations of TMD functions and their large-$k_T$ behavior, as calculated in collinear factorization. The procedure discussed herein will be important for guiding future extractions of TMD parton densities and fragmentation functions and for testing TMD factorization and universality. We illustrate the procedure with an application to semi-inclusive deep inelastic scattering (SIDIS) structure functions at an input scale $Q_0$, and we show that there is improved consistency between different methods of calculating at moderate transverse momentum. We end with a discussion of plans for future phenomenological applications.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.107.094029
Accepted Manuscript: PhysRevD.107.094029.pdf
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