Skewness-dependent moments of the pion GPD from nonlocal quark-bilinear correlators
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| Format: | Preprint |
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2025
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| _version_ | 1866915743943098368 |
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| author | Gao, Xiang Mukherjee, Swagato Shi, Qi Yao, Fei Zhao, Yong |
| author_facet | Gao, Xiang Mukherjee, Swagato Shi, Qi Yao, Fei Zhao, Yong |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_01818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skewness-dependent moments of the pion GPD from nonlocal quark-bilinear correlators Gao, Xiang Mukherjee, Swagato Shi, Qi Yao, Fei Zhao, Yong High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory 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. |
| title | Skewness-dependent moments of the pion GPD from nonlocal quark-bilinear correlators |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2511.01818 |