Gradient Flow for Parton Distribution Functions: First Application to the Pion

Physical Review Letters, vol. 136

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.

Authors 12

1. Anthony Sebastian Francis

   National Yang Ming Chiao Tung University

   Affiliation as printed

   National Yang Ming Chiao Tung University

2. Patrick Fritzsch
   Affiliation as printed

   Trinity College

3. Robert V. Harlander Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

4. Rohith Karur

   Lawrence Berkeley National Laboratory · University of California, Berkeley

   Affiliation as printed

   Lawrence Berkeley National Laboratory

   University of California, Berkeley

5. Jangho Kim

   Seoul National University

   Affiliation as printed

   Seoul National University

6. Jonas T. Kohnen Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

7. Giovanni Pederiva

   Forschungszentrum Jülich

   Affiliation as printed

   Forschungszentrum Jülich

8. Dimitra A. Pefkou

   Lawrence Berkeley National Laboratory · University of California, Berkeley

   Affiliation as printed

   Lawrence Berkeley National Laboratory

   University of California, Berkeley

9. Antonio Rago

   University of Southern Denmark

   Affiliation as printed

   University of Southern Denmark

10. Andrea Shindler Aachen

    Lawrence Berkeley National Laboratory · RWTH Aachen University · University of California, Berkeley

    Affiliation as printed

    Lawrence Berkeley National Laboratory

    RWTH Aachen University

    University of California, Berkeley

11. André Walker-Loud

    Lawrence Berkeley National Laboratory · University of California, Berkeley

    Affiliation as printed

    Lawrence Berkeley National Laboratory

    University of California, Berkeley

12. Savvas Zafeiropoulos

    Aix-Marseille Université

    Affiliation as printed

    Aix Marseille Univ