Resolution to the problem of consistent large transverse momentum in TMDs

Gonzalez-Hernandez, J. O.; Rainaldi, T.; Rogers, T. C.

doi:10.1103/PhysRevD.107.094029

Title: Resolution to the problem of consistent large transverse momentum in TMDs

Journal Article · Tue May 23 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.107.094029· OSTI ID:1974815

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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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); European Union’s Horizon 2020

Grant/Contract Number:: AC05-06OR23177; SC0018106; 824093

OSTI ID:: 1974815

Alternate ID(s):: OSTI ID: 1974694; OSTI ID: 2281175

Report Number(s):: JLAB-THY-23-3771; DOE/OR/23177-5781; PRVDAQ; 094029

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 107 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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