Exploring twist-4 chiral-even GPDs in the light-front quark-diquark model

TL;DR

This paper calculates twist-4 chiral-even GPDs within a light-front quark-diquark model, providing detailed visualizations and exploring their connections to other distribution functions and form factors to understand hadron structure.

Contribution

It introduces a comprehensive calculation of twist-4 chiral-even GPDs in the light-front quark-diquark model, including detailed 2D and 3D visualizations and analysis of their relations to other distributions.

Findings

Detailed 2D and 3D plots of GPDs dependence on x and t

Connections established between twist-4 GPDs and PDFs, TMDs, GTMDs

Impact parameter GPD plots for spatial distribution insights

Abstract

In this work, we delve into the realm of quantum chromodynamics (QCD) by calculating twist-4 chiral-even generalized parton distributions (GPDs), within the context of the light-front quark-diquark model (LFQDM), focusing specifically on the intriguing case of zero skewness. To shed light on the behavior of twist-4 chiral-even GPDs, we present comprehensive two-dimensional ($2$-D) and 3-dimensional ($3$-D) plots, mapping their dependence on the longitudinal momentum fraction ($x$) and the momentum transfer ($t$). Furthermore, our research looks into the profound connection between twist-4 chiral-even GPDs and other distribution functions (DFs), including parton distribution functions (PDFs), transverse momentum-dependent parton distributions (TMDs) and generalized transverse-momentum dependent parton distributions (GTMDs). Additionally, our investigation extends to the exploration of related higher twist form factors (FFs), which play a pivotal role in elucidating the internal structure of hadrons. To provide significant insights into the partons spatial distribution, we have also yielded impact parameter GPD plots.