Reconstructing the full kinematic dependence of GPDs from pseudo-distributions

Year: 2026

Type: article

Abstract: We propose a reconstruction of the full $(x, ξ, t)$ dependence of unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}$ and $E^{u-d}$ from lattice QCD data in the pseudo-distribution formalism. For the first time, we extract double distributions (DDs) directly from lattice data, enforcing therefore an important property of GPDs linked to Lorentz symmetry. We use the flexible framework of multidimensional Gaussian process regression to regularize the inverse problem and present an assessment of the impact of model dependence on the systematic uncertainty. Our lattice ensemble corresponds to a pion mass $m_π= 358$~MeV and a lattice spacing $a = 0.094$~fm. We use larger hadron momenta, up to 2.7~GeV, and kinematic coverage compared to our previous computations and extract additional skewness-dependent moments of the GPD.

Source: Physical Review X

DOI: 10.1103/77pv-msts

Authors: Hervé Dutrieux, Robert G. Edwards, Joe Karpie, Cédric Mezrag, Christopher Monahan, Kostas Orginos, Anatoly Radyushkin, David Richards, Eloy Romero, Savvas Zafeiropoulos

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $4,200

Funders: National Science Foundation, U.S. Department of Energy, Agence Nationale de la Recherche, Grand Équipement National De Calcul Intensif, Office of Science, Thomas Jefferson National Accelerator Facility

OpenAlex ID: W7220994235