Generalized parton distributions through universal moment parameterization: non-zero skewness case

Abstract

We present the first global analysis of generalized parton distributions (GPDs) combing lattice quantum chromodynamics (QCD) calculations and experiment measurements including global parton distribution functions (PDFs), form factors (FFs) and deeply virtual Compton scattering (DVCS) measurements. Following the previous work where we parameterize GPDs in terms of their moments, we extend the framework to allow for the global analysis at non-zero skewness. Together with the constraints at zero skewness, we fit GPDs to global DVCS measurements from both the recent JLab and the earlier Hadron-Electron Ring Accelerator (HERA) experiments with two active quark flavors and leading order QCD evolution. With certain choices of empirical constraints, both sea and valence quark distributions are extracted with the combined inputs, and we present the quark distributions in the proton correspondingly. We also discuss how to extend the framework to accommodate more off-forward constraints beyond the small $\xi$ expansion, especially the lattice calculated GPDs.

arXiv comment23 pages, 7 figures and 3 tables

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• Towards Unpolarized GPDs from Pseudo-Distributions
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• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Generalized parton distributions from the pseudo-distribution approach on the lattice
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• Parametrization of GPDs from t-channel string exchange in AdS spaces
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• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Exclusive photoproduction of ${\eta }_c\gamma$ pairs with large invariant mass
• Generalized parton distributions for the lowest-lying octet baryons
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• Complete definition of $N\to \Delta$ transition generalized parton distributions
• Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
• Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering