Generalized Parton Distributions from Lattice QCD

ORAL  · Invited

Abstract

Generalized Parton Distributions (GPDs) provide a powerful tool for probing the three-dimensional tomography of hadron structure, encoding crucial information about quark and gluon correlations, spin-orbit couplings, and the origin of hadronic mass and spin. Lattice QCD calculations of GPDs have made significant progress, offering insight into the hadrons' non-perturbative structure. In this talk, I will present recent developments in extracting GPDs from lattice QCD based on computations of matrix elements of momentum-boosted hadron states involving non-local operators with Wilson lines. These calculations utilize frameworks such as Large-Momentum Effective Theory (LaMET) and Short-Distance Factorization (SDF), presenting results for both twist-2 and twist-3 GPDs. I will also discuss selected advancements for integrating lattice data into global analyses through Neural Networks techniques.

*We acknowledge financial support by the U.S. Department of Energy, Office of Nuclear Physics, under Grant No. DE-SC0025218.We also acknowledge support by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under the umbrella of the Quark-Gluon Tomography (QGT) Topical Collaboration with Award No. DE-SC0023646.

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Publication: "Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Tensor Case", S. Bhattacharya, K. Cichy, M. Constantinou, A. Metz, J. Miller, P. Petreczky, F. Steffens, [arXiv:2505.11288]

"Nucleon tomography and total angular momentum of valence quarks from synergy between lattice QCD and elastic scattering data'', K. Cichy, M. Constantinou, P. Sznajder, J. Wagner, Physical Review D 110 (2024) 11, 114025, [arXiv:2409.17955]

"Generalized parton distributions from the pseudo-distribution approach on the lattice'', S. Bhattacharya, K. Cichy, M. Constantinou, A. Metz, N. Nurminen, F. Steffens, Physical Review D 110 (2024) 5, 054502, [arXiv:2405.04414]

"Chiral-even axial twist-3 GPDs of the proton from lattice QCD'', S. Bhattacharya, K. Cichy, M. Constantinou, J. Dodson, A. Metz, A. Scapellato, F. Steffens, Physical Review D 108 (2023) 5, 054501, [arXiv:2306.05533]

Presenters

  • Martha Constantinou

    • Temple University

Authors

  • Martha Constantinou

    • Temple University