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Skewness-dependent moments of the pion GPD from nonlocal quark-bilinear correlators

Xiang Gao1, Swagato Mukherjee1, Qi Shi2,*, Fei Yao1,†, and Yong Zhao3

  • *Contact author: qshi3@kent.edu
  • †Contact author: fyao@bnl.gov
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Phys. Rev. D 113, 014505 – Published 20 January, 2026

DOI: https://doi.org/10.1103/hrb2-47zm

Abstract

We present lattice QCD calculations of the odd Mellin moments of pion valence-quark generalized parton distribution up to fifth order ⟨x4⟩ and for the skewness range [−0.33,0] using operator product expansion of bilocal quark-bilinear operators. The calculations are performed on an ensemble with lattice spacing a=0.04  fm and valence pion mass 300 MeV, employing boosted pion states with momenta up to 2.428 GeV and momentum transfers reaching 2.748  GeV2. We employ ratio-scheme renormalization and next-to-leading logarithmic resummed perturbative matching. At zero skewness, our results are consistent with previous lattice studies. By combining matrix elements at multiple values of skewness and momentum transfer, skewness-dependent moments are obtained through simultaneous polynomiality-constrained fits.

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Phys. Rev. D 113, 014505– Published 20 January, 2026
  • Received 13 November 2025
  • Accepted 23 December 2025
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