Sum Rules for Nucleon GPDs and Border Function Formulation
arXiv:1307.6781 · doi:10.1103/PhysRevD.88.056010
Abstract
The newy developed approach to model nucleon generalized parton distributions (GPDs) H and E$ is based on two types of their representation in terms of double distributions. Within this approach, we re-consider the derivation of GPD sum rules that allow to use border functions H(x,x) and E(x,x) instead of full GPDs H(x,ξ) and E(x,ξ) in the integrals producing Compton form factors of deeply virtual Compton scattering. Using factorized DD Ansatz to model GPDs, we discuss the relation between the border functions and underlying parton densities. We find that a substantial contribution to H(x,x) border function comes from the extra term required by new DD representations and related to E(x,ξ) GPD.
References in corpus (6)
- Dispersion representations for hard exclusive processes
- Dispersion relations and subtractions in hard exclusive processes
- Tomography for amplitudes of hard exclusive processes
- Test of two new parameterizations of the Generalized Parton Distribution
- Forward-like functions for dual parametrization of GPDs from nonlocal chiral quark model
- Modeling Nucleon Generalized Parton Distributions