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  • Open Access

Small-x gluon GPD constrained from deeply virtual J/ψ production and gluon PDF through universal-moment parametrization

Yuxun Guo1,*, Xiangdong Ji2,†, M. Gabriel Santiago3,4,5,‡, Jinghong Yang2,§, and Hao-Cheng Zhang6,∥

  • *Contact author: yuxunguo@lbl.gov
  • †Contact author: xji@umd.edu
  • ‡Contact author: msantiag@odu.edu
  • §Contact author: yangjh@umd.edu
  • ∥Contact author: hczhang2003@gmail.com
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Phys. Rev. D 112, 054036 – Published 22 September, 2025

DOI: https://doi.org/10.1103/np1g-6c2z

Abstract

We phenomenologically constrain the small-x and small-ξ gluon generalized parton distributions (GPDs) with the deeply virtual J/ψ production (DVJ/ψP) in the framework of GPDs through universal moment parameterization (GUMP). We use a hybrid cross-section formula combining collinear factorization to the next-to-leading order (NLO) accuracy of the strong coupling αs, with corrections from nonrelativistic QCD to account for the power corrections due to the heavy J/ψ mass. We reach reasonable fit to the measured differential cross sections of DVJ/ψP by H1 at the Hadron-Electron Ring Accelerator as well as forward gluon parton distribution functions (PDFs) from JAM22 global analysis. We find that both NLO and nonrelativistic corrections are significant for heavy vector meson productions. Of course, the gluon GPD we obtain still contains considerable freedom in need of inputs from other constraints, particularly in the distribution-amplitude-like region.

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Phys. Rev. D 112, 054036– Published 22 September, 2025
  • Received 17 April 2025
  • Accepted 4 September 2025
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