DOE OSTI · 3375421
Gradient Flow for Parton Distribution Functions: First Application to the Pion
Abstract
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 ⟨𝑥⟩, 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 nonsinglet pion PDF moments up to ⟨𝑥 5 ⟩ on four lattice spacings at 𝑚 𝜋 ≃ 411 MeV. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions.
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Francis, Anthony [National Yang Ming Chiao Tung University, Hsinchu (Taiwan)] (ORCID:0000000233039900), Fritzsch, Patrick [Trinity College Dublin (Ireland)] (ORCID:0000000183733215), Harlander, Robert V. [RWTH Aachen University (Germany)] (ORCID:0000000287152458), Karur, Rohith [University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000178249891), Kim, Jangho [Seoul National University (Korea, Republic of)] (ORCID:0000000246700390), Kohnen, Jonas T. [RWTH Aachen University (Germany)] (ORCID:0009000129045945), Pederiva, Giovanni [Forschungszentrum Juelich (Germany)] (ORCID:0000000163454120), Pefkou, Dimitra A. [University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000247190417), Rago, Antonio [University of Southern Denmark, Odense (Denmark)] (ORCID:0000000311925538), Shindler, Andrea [RWTH Aachen University (Germany); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); University of California, Berkeley, CA (United States)] (ORCID:0000000336938300), Walker-Loud, André [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); University of California, Berkeley, CA (United States)] (ORCID:0000000246863667), Zafeiropoulos, Savvas [Aix-Marseille Université, Marseille (France); Université de Toulon, Marseille (France); Centre National de la Recherche Scientifique (CNRS), Marseille (France). Centre de Physique Théorique (CPT)] (ORCID:0000000301574770). 2026-04-29. Gradient Flow for Parton Distribution Functions: First Application to the Pion. https://doi.org/10.1103/z3wr-zk8n
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