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

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.

27 pages, 6 figures and 2 tables

References in corpus (14)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Transverse-momentum distributions in a diquark spectator model
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Flavor decomposition of the elastic nucleon electromagnetic form factors
• The transverse momentum dependent distribution functions in the bag model
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Endpoint singularities in unintegrated parton distributions
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• A light front quark-diquark model for the nucleons
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Single Transverse-Spin Asymmetries at Large-x
• Orbital structure of quarks inside the nucleon in the light-cone diquark model

Cited by in corpus (5)

• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Effect of nuclear medium on the spatial distribution of pions
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• TMD Relations: Insights from a Light-Front Quark-Diquark Model