Generalized Parton Distributions from Hadronic Observables: Non-Zero Skewness

Abstract

We propose a physically motivated parametrization for the unpolarized generalized parton distributions, H and E, valid at both zero and non-zero values of the skewness variable, ζ. Our approach follows a previous detailed study of the ζ=0 case where H and E were determined using constraints from simultaneous fits of the experimental data on both the nucleon elastic form factors and the deep inelastic structure functions in the non singlet sector. Additional constraints at ζ\neq 0 are provided by lattice calculations of the higher moments of generalized parton distributions. We illustrate a method for extracting generalized parton distributions from lattice moments based on a reconstruction using sets of orthogonal polynomials. The inclusion in our fit of data on Deeply Virtual Compton Scattering is also discussed. Our method provides a step towards a model independent extraction of generalized distributions from the data. It also provides an alternative to double distributions based phenomenological models in that we are able to satisfy the polynomiality condition by construction, using a combination of experimental data and lattice, without resorting to any specific mathematical construct.

29 pages, 8 figures; added references, changed text in several places

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Cited by in corpus (16)

• GPD phenomenology and DVCS fitting - Entering the high-precision era
• Hadron structure from lattice quantum chromodynamics
• Flexible Parametrization of Generalized Parton Distributions from Deeply Virtual Compton Scattering Observables
• Interpretation of the Flavor Dependence of Nucleon Form Factors in a Generalized Parton Distribution Model
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Some numerical studies of the evolution of generalized parton distributions
• Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
• Generalized parton distributions in a light-front nonperturbative approach
• Twist-three cross-sections in deeply virtual Compton scattering
• New avenue to the Parton Distribution Functions: Self-Organizing Maps
• Generalized Parton Distributions from Hadronic Observables
• Generalized Parton Distributions and Hadronic Observables
• Transversity via Exclusive pi0 Electroproduction
• Strategies to Extract Generalized Parton Distributions from Data
• Chiral-Odd Generalized Parton Distributions from Exclusive pi^o Electroproduction
• Parametrization of Quark and Gluon Generalized Parton Distributions in a Dynamical Framework