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arXiv · 2511.01818

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

Xiang Gao·Swagato Mukherjee·Qi Shi·Fei Yao·Yong Zhao
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Abstract

We present lattice QCD calculations of the odd Mellin moments of pion valence-quark generalized parton distribution (GPD) up to fifth order, $\langle x^4\rangle$, 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 $a=0.04~\mathrm{fm}$ and valence pion mass $300$ $\mathrm{MeV}$, employing boosted pion states with momenta up to 2.428 GeV and momentum transfers reaching 2.748 GeV$^2$. 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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Xiang Gao, Swagato Mukherjee, Qi Shi, Fei Yao, Yong Zhao. 2026-01-21. Skewness-dependent moments of the pion GPD from nonlocal quark-bilinear correlators. https://arxiv.org/abs/2511.01818

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