Generalized Parton Distributions and Hadronic Observables

TL;DR

This paper introduces a new parametrization for generalized parton distributions at non-zero skewness, integrating various data sources to enable more model-independent extraction of these distributions from experimental results.

Contribution

It proposes a physically motivated parametrization for GPDs at non-zero skewness, combining form factor, scattering, and lattice data, advancing beyond traditional double distribution models.

Findings

The new parametrization fits recent proton data effectively.

It integrates multiple data sources for GPD extraction.

Provides a step towards model-independent GPD analysis.

Abstract

Following a previous detailed study of unpolarized generalized parton distribution functions in the non-singlet sector, and at zero values of the skewness variable, $\zeta$, we propose a physically motivated parametrization that is valid at $\zeta \neq 0$. Our method makes use of information from the nucleon form factor data, from deep inelastuc scattering parton distribution functions, and from lattice results on the Mellin moments of generalized parton distributions. It provides, therefore, a step towards a model independent extraction of generalized distributions from the data, alternative to the mathematical ansatz of double distributions. Comparisons with recent experimental data on the proton are shown.