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Generalized parton distributions through universal moment parameterization: zero skewness case
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abstract
We present a global analysis program for the generalized parton distributions (GPDs) based on conformal moment expansion. We apply the strategy of universal moment parameterization to fit both the collinear parton distribution functions (PDFs) from phenomenology and generalized form factors from lattice calculations, and show that the parameterization is flexible enough to accommodate these constraints. In addition, we can also fit direct lattice calculations of GPDs from large-momentum effective theory. In this work we focus on the analysis of $t$-dependent PDFs which correspond to GPDs in the $\xi \to 0$ limit. The strategy also applies to the $\xi \not =0$ region with extra parameters, and therefore can be fitted to experimental observables in the future. With a demonstrative example of fitted GPDs, we exhibit the quark transverse angular momentum densities of the proton as well as the impact parameter space distributions of quarks in both unpolarized and transversely polarized protons.
Forward citations
Cited by 6 Pith papers
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Benchmarking the Nearside Energy-Energy Correlators with Mellin Transform
A Mellin-transform framework with one fitted transition scale Λ describes nearside EECs in e+e− annihilation at NNLO+NNLL accuracy across ALEPH and earlier data.
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GUMP1.0 -- First global extraction of generalized parton distributions from experiment and lattice data with NLO accuracy
A new global extraction, GUMP1.0, fits generalized parton distributions to 2,646 experimental and lattice data points at NLO accuracy and uses them to image the proton and decompose its spin.
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Mechanical properties of the nucleon from the generalized parton distributions
Using a double-distribution GPD model constrained by elastic-scattering data, the paper fits DQ(0) = -3.37 ± 0.17 from Compton form factors and derives proton pressure, shear, and radii.
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Gluon skewed generalized parton distributions of proton from a light-front Hamiltonian approach
Using light-front wave functions with one dynamical gluon, the authors obtain all leading-twist gluon GPDs of the proton at nonzero skewness and find diffraction-like patterns in longitudinal position space.
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Generalized parton distributions from lattice QCD
A review of lattice QCD extractions of GPDs via quasi- and pseudo-distributions, surveying results and advocating combined LaMET+SDF analyses and experiment-lattice synergies.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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