Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model

TL;DR

This paper develops inversion relations linking dual parametrization of GPDs with phenomenological models, exemplified by pion GPD calculations in a nonlocal chiral quark model, highlighting potential overlooked contributions in Abel tomography.

Contribution

It introduces inversion relations connecting dual GPD parametrization with models and applies them to pion GPDs within a nonlocal chiral quark model.

Findings

Derived inversion relations for GPD dual parametrization.

Applied relations to pion GPD in nonlocal chiral quark model.

Highlighted limitations of Abel tomography in capturing delta function contributions.

Abstract

We derive the set of inversion relations allowing to establish the link between the dual parametrization of GPDs and a broad class of phenomenological models for GPDs. As an example we consider the results of the calculation of the pion GPD in the framework of nonlocal chiral quark model (NlCQM) to recover the set of forward-like functions representing this GPD in the framework of dual parametrization. We also argue that Abel tomography method overlooks possible delta function like contributions to GPD quintessence function making explicit contribution to the D from factor.