Towards Unpolarized GPDs from Pseudo-Distributions

TL;DR

This paper explores unpolarized isovector proton GPDs using pseudo-distribution formalism, providing moments up to third order and analyzing skewness dependence at specific lattice parameters.

Contribution

It introduces a novel application of pseudo-distribution formalism with distillation to compute GPD moments and skewness dependence on the lattice.

Findings

Computed GPD moments up to order x^3

Analyzed skewness dependence of GPDs

Provided results at specific lattice parameters

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.