Bridging Electromagnetic and Gravitational Form Factors: Insights from LFHQCD

TL;DR

This paper introduces a novel method combining light-front holographic QCD and continuum Schwinger techniques to derive generalized parton distributions and gravitational form factors for pions and protons, aligning well with lattice QCD results.

Contribution

The paper presents a new approach to compute hadronic form factors by integrating LFHQCD with PDFs from Schwinger methods, providing accurate predictions for gravitational form factors.

Findings

Results closely match recent lattice QCD simulations.

Method effectively models mass distributions within hadrons.

Demonstrates the utility of LFHQCD in hadron structure studies.

Abstract

We propose an efficacious approach to derive the generalized parton distributions for the pion and proton, based upon prior knowledge of their respective parton distribution functions (PDFs). Our method leverages on integral representations of the electromagnetic form factors derived from the light-front holographic QCD (LFHQCD) formalism, coupled with PDFs computed from continuum Schwinger functional methods at the hadronic scale. Using these techniques, we calculate gravitational form factors and associated mass distributions for each hadron. Remarkably, our calculations yield results that closely match recent lattice QCD simulations conducted near the physical pion mass. This work not only deepens our understanding of hadronic structure but also highlights the efficacy of the LFHQCD approach in modeling fundamental properties of hadrons.