Towards Unpolarized GPDs from Pseudo-Distributions

Abstract

We present an exploration of the unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}(x,\xi ,t)$ and $E^{u-d}(x,\xi ,t)$ in the pseudo-distribution formalism using distillation. Taking advantage of the large kinematic coverage made possible by this approach, we present results on the moments of GPDs up to the order $x^3$ -- including their skewness dependence -- at a pion mass $m_{\pi }=358$ MeV and a lattice spacing $a=0.094$ fm.

Comments: added discussion on isovector D-term and stability of fits with respect to the range in non-local separation of the operator