Published April 23, 2026 | Version v1
Dataset Open

Unpolarized isovector GPDs from lattice QCD in the pseudo-distribution formalism

Authors/Creators

  • 1. ROR icon Centre de Physique Théorique
  • 2. ROR icon Thomas Jefferson National Accelerator Facility
  • 3. CEA Saclay
  • 4. AIDAS
  • 5. ROR icon Colorado College
  • 6. College of Arts and Sciences, College of William and Mary
  • 7. ROR icon Old Dominion University

Description

We provide a reconstruction of the (x, xi, t) dependence of the proton's unpolarized isovector generalized parton distributions (GPDs) from lattice QCD at a pion mass of 358 MeV and a lattice spacing of 0.094 fm, matched with leading logarithmic accuracy to mu = 2 GeV. This dataset is associated to the publication "Reconstructing the full kinematic dependence of GPDs from pseudo-distributions" available at arXiv:2604.21476.
For the first time in the literature, the GPDs are computed from lattice data using the double distribution formalism that guarantees the respect of the polynomiality property. The regularization of the inverse problem is performed thanks to a multidimensional Gaussian process regression, offering a large flexibility and an assessment of model dependence.
 
The results are provided at 8 values of the invariant momentum transfer t spanning [0, -1.4] GeV^2, 5 values of the skewness xi spanning [0, 1] and 100 values of x spanning [0, 1]. Please read Appendix C of "Reconstructing the full kinematic dependence of GPDs from pseudo-distributions" (arXiv:2604.21476) for more details on how to read the datafiles, an exemplary code, and cite this paper if you use the data.

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Additional details

Related works

Is supplement to
Journal article: arXiv:2604.21476 (arXiv)

Funding

Office of Science
DE-AC05-06OR23177
Agence Nationale de la Recherche
ANR-23-CE31-0019
United States Department of Energy
DE-SC0025908
United States Department of Energy
DE-FG02-04ER41302
United States Department of Energy
Thomas Jefferson National Accelerator Facility Laboratory Directed Research and Development Program
United States Department of Energy
DE-FG02-97ER41028
United States Department of Energy
DE-SC0023646
U.S. National Science Foundation
PHY-1626177
United States Department of Energy
DE-AC02-05CH11231
United States Department of Energy
DE-AC05-00OR22725
Grand Équipement National de Calcul Intensif (France)
(2020-2024)-A0080511504
Texas Advanced Computing Center