The First Moments of Nucleon Generalized Parton Distributions

Abstract

We extrapolate the first moments of the generalized parton distributions using heavy baryon chiral perturbation theory. The calculation is based on the one loop level with the finite range regularization. The description of the lattice data is satisfactory and the extrapolated moments at physical pion mass are consistent with the results obtained with dimensional regularization, although the extrapolation in the momentum transfer to $t=0$ does show sensitivity to form factor effects which lie outside the realm of chiral perturbation theory. We discuss the significance of the results in the light of modern experiments as well as QCD inspired models.

14 pages, 9 figures

References in corpus (13)

• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Deeply Virtual Compton Scattering off the neutron
• Interplay of Spin and Orbital Angular Momentum in the Proton
• The spin structure of the pion
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Resolution of the Proton Spin Problem
• Chiral extrapolation of nucleon magnetic form factors
• Strange magnetic form factor of the proton at $Q^2=0.23$ GeV${}^2$
• Chiral extrapolation of octet-baryon charge radii
• Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on an unpolarized deuterium target
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Generalized parton distributions in a meson cloud model
• Generalized parton distributions and Deeply Virtual Compton Scattering in Color Glass Condensate model

Cited by in corpus (13)

• Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Strange magnetic form factor of nucleon in heavy baryon chiral effective approach at next to leading order
• Nucleon electromagnetic form factors with non-local chiral effective Lagrangian
• Chiral extrapolation of nucleon magnetic moments at next-to-leading-order
• Strange form factors of nucleon with nonlocal chiral effective Lagrangian
• The spin of the proton in chiral effective field theory
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Pure sea-quark contributions to the magnetic form factors of $\Sigma$ baryons
• Chiral extrapolation of nucleon axial charge $g_A$ in effective field theory
• Nucleon magnetic form factors with non-local chiral effective Lagrangian
• Chiral Analysis of the Nucleon Mass and Sigma Commutator