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  • Letter
  • Open Access

Gluonic contributions to the pion parton distribution functions

Jiangshan Lan1,2,3,4,*, Chandan Mondal1,2,3,†, Xingbo Zhao1,2,3,4,‡, Tobias Frederico5,§, and James P. Vary6,∥

  • *Contact author: jiangshanlan@impcas.ac.cn
  • †Contact author: mondal@impcas.ac.cn
  • ‡Contact author: xbzhao@impcas.ac.cn
  • §Contact author: tobias@ita.br
  • ∥Contact author: jvary@iastate.edu

Phys. Rev. D 111, L111903 – Published 16 June, 2025

DOI: https://doi.org/10.1103/3z39-l1kg

Abstract

We investigate gluonic contributions to the pion beyond the valence sector using basis light-front quantization (BLFQ) and the Minkowski Bethe-Salpeter equation (BSE). Starting from the valence light-front wave function, we construct the quark-antiquark-gluon component and derive the corresponding quark and gluon parton distribution functions (PDFs). A proposed operator generating this higher Fock sector is validated against BLFQ and BSE results. We identify dynamical chiral symmetry breaking through enhanced spin-flip transitions, which amplify the low-x quark PDF and underlie the π−ρ mass splitting. The framework also reveals the impact of a vanishing gluon mass on the gluon PDF, highlighting sensitivity to nonperturbative gluon dynamics.

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