The Mellin Moments〈x〉and〈x^2〉for the Pion and Kaon from Lattice QCD

ORAL

Abstract

We present a calculation of the pion and kaon second and third Mellin moments, $\langle x \rangle$ and $\langle x^2 \rangle$, within lattice using twisted mass formulations. The ensemble we use corresponds to a pion and kaon mass of 260 MeV and 530 MeV, respectively. Systematic errors due to excited states are investigated and controlled using different methods. We compare with other studies and available experimental and phenomenological data.

*U.S. National Science Foundation Grant No. PHY-1714407; U.S. Department of Energy, Office of Science, Office of Nuclear Physics, contract no. DE-AC02-06CH11357

–

Authors

  • Colin Lauer

    • Temple University

  • Constantia Alexandrou

    • University of Cyprus, The Cyprus Institute

  • Simone Bacchio

    • University of Cyprus, The Cyprus Institute

  • Martha Constantinou

    • Temple University
    • Temple

  • Kyriacos Hadjiyiannakou

    • University of Cyprus
    • University of Cyprus, The Cyprus Institute

  • Giannis Koutsou

    • The Cyprus Institute