An algebraic model for the pion's valence-quark GPD

TL;DR

This paper presents an algebraic model to compute the pion's valence-quark generalized parton distribution, introducing a reliable procedure for results in DGLAP and ERBL regions based on GPD overlap and Radon transform parametrization.

Contribution

It introduces a novel algebraic model and a procedure for accurate GPD calculations in different kinematic regions using the GPD overlap and Radon transform.

Findings

Successful computation of pion valence-quark GPDs.

A new reliable method for GPD results in DGLAP and ERBL regions.

Grounded approach using GPD overlap and Radon transform.

Abstract

We briefly report on a recent computation, with the help of a fruitful algebraic model, sketching the pion valence dressed-quark generalized parton distribution. Then, preliminary, we introduce on a sensible procedure to get reliable results in both Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Efremov-Radyushkin-Brodsky-Lepage (ERBL) kinematical regions, grounded on the GPD overlap representation and its parametrization of a Radon transform of the so-called double distribution (DD).