Gradient flow for parton distribution functions: first application to the pion
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arXiv
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| Format: | Preprint |
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2025
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| author | Francis, Anthony Fritzsch, Patrick Harlander, Robert V. Karur, Rohith Kim, Jangho Kohnen, Jonas T. Pederiva, Giovanni Pefkou, Dimitra A. Rago, Antonio Shindler, Andrea Walker-Loud, André Zafeiropoulos, Savvas |
| author_facet | Francis, Anthony Fritzsch, Patrick Harlander, Robert V. Karur, Rohith Kim, Jangho Kohnen, Jonas T. Pederiva, Giovanni Pefkou, Dimitra A. Rago, Antonio Shindler, Andrea Walker-Loud, André Zafeiropoulos, Savvas |
| contents | Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operators, besides $\langle x \rangle$, face severe challenges from reduced hypercubic symmetry, limiting results to the lowest moments. A recently proposed method resolves these issues using gradient flow. We demonstrate the efficacy of this method by computing ratios of flavor non-singlet pion PDF moments up to $\langle x^5 \rangle$, on four lattice spacings at $m_π\simeq 411$ MeV. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gradient flow for parton distribution functions: first application to the pion Francis, Anthony Fritzsch, Patrick Harlander, Robert V. Karur, Rohith Kim, Jangho Kohnen, Jonas T. Pederiva, Giovanni Pefkou, Dimitra A. Rago, Antonio Shindler, Andrea Walker-Loud, André Zafeiropoulos, Savvas High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operators, besides $\langle x \rangle$, face severe challenges from reduced hypercubic symmetry, limiting results to the lowest moments. A recently proposed method resolves these issues using gradient flow. We demonstrate the efficacy of this method by computing ratios of flavor non-singlet pion PDF moments up to $\langle x^5 \rangle$, on four lattice spacings at $m_π\simeq 411$ MeV. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions. |
| title | Gradient flow for parton distribution functions: first application to the pion |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.02472 |