Anthony Francis, Patrick Fritzsch, Robert V. Harlander, Rohith Karur, Jangho Kim, Jonas T. Kohnen, Giovanni Pederiva, Dimitra A. Pefkou, Antonio Rago, Andrea Shindler, André Walker-Loud, Savvas Zafeiropoulos
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.