Nucleon generalized parton distributions from full lattice QCD

Abstract

We present a comprehensive study of the lowest moments of nucleon generalized parton distributions in ${N}_{f}=2+1$ lattice QCD using domain-wall valence quarks and improved staggered sea quarks. Our investigation includes helicity dependent and independent generalized parton distributions for pion masses as low as 350 MeV and volumes as large as $(3.5\text{ }\text{ }\mathrm{fm}{)}^{3}$, for a lattice spacing of 0.124 fm. We use perturbative renormalization at one-loop level with an improvement based on the nonperturbative renormalization factor for the axial vector current, and only connected diagrams are included in the isosinglet channel.