Double Distributions and Pseudo-Distributions

Abstract

We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a non-trivial correlation between $x$- and $\xi$-dependences of GPDs. Another advantage of using DDs is that the $D$-term appears as an independent entity in the DD formalism rather than a part of GPDs $H$ and $E$. We relate the $\xi$-dependence of GPDs to the width of the $\alpha$-profiles of the corresponding DDs, and discuss strategies for fitting lattice-extracted pseudo-distributions by DDs.

Comments: 9 pages, 3 figures