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

Colin Lauer; Constantia Alexandrou; Simone Bacchio; Martha Constantinou; Kyriacos Hadjiyiannakou; Giannis Koutsou

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.

Oct. 30, 2020, 10:30 AM – Oct. 30, 2020, 10:42 AM

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