Parametrization of zero-skewness unpolarized GPDs

TL;DR

This paper develops a parameterization method for zero-skewness unpolarized GPDs to improve the calculation of nucleon form factors and electric radius, aligning theoretical predictions more closely with experimental data.

Contribution

It introduces a new parametrization approach using the VS24 Ansatz and high-order PDFs to refine nucleon form factor calculations in GPDs.

Findings

Enhanced accuracy of nucleon form factor calculations.

Closer agreement of theoretical electric radius with experimental values.

Demonstrated the effectiveness of the VS24 Ansatz in GPD modeling.

Abstract

Recent parameterizations of parton distribution functions (PDFs) have led to the determination of the gravitional form factors of the nucleon's dependence on generalized parton distributions of nucleons in the limit $\xi$$\to 0$. This paper aims to obtain the flavor division of nucleon electromagnetic and gravitional form factors using the VS24 Ansatz and two PDFs at $N^3L0$ approximation in GPDs. The PDFs and GPDs formalism enable the calculation of various form factors of nucleons in different approximations, as well as the calculation of the electric radius of nucleons. The study, despite its high approximation complexity, enhances the accuracy of calculations and brings them closer to the experimental values.