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  • Open Access

Impact of the TMD shape function on matching the transverse momentum spectrum in J/ψ production at the EIC

Luca Maxia1,2,*, Daniël Boer1,†, and Jelle Bor1,3

  • *Contact author: maxia@lpthe.jussieu.fr
  • †Contact author: d.boer@rug.nl
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Phys. Rev. D 112, 076034 – Published 29 October, 2025

DOI: https://doi.org/10.1103/qj28-q2fy

Abstract

The impact of the inclusion of transverse-momentum-dependent (TMD) shape functions on the transverse momentum spectrum in J/ψ production at the electron-ion collider (EIC) is investigated by considering the matching of the TMD factorization description at low transverse momentum with the collinear factorization description at high transverse momentum by means of the inverse-error weighting method. Despite large uncertainties from scale variations and the J/ψ long-distance matrix elements, predictions for the differential cross section and its cos(2ϕψ) modulation are obtained. We find that physical constraints are satisfied in case a process-dependent term is included for color octet production, but not in all cases when it is excluded. These numerical results support the analytic calculations in the work by Boer et al. [J. High Energy Phys. 08 (2023) 105.]. Future experimental data can thus test the validity of TMD factorization in J/ψ production and explore the presence of nontrivial process-dependent effects in the soft-gluon resummation. This will be crucial in the extraction of gluon unpolarized and linearly polarized TMD distributions of the proton. In addition, we suggest how the sign of the latter can be determined by investigating the presence of a node in the cos(2ϕψ) modulation as a function of transverse momentum.

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Phys. Rev. D 112, 076034– Published 29 October, 2025
  • Received 15 May 2025
  • Accepted 7 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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