Chiral extrapolation of nucleon magnetic form factors

Abstract

The extrapolation of nucleon magnetic form factors calculated within lattice QCD is investigated within a framework based upon heavy baryon chiral effective-field theory. All one-loop graphs are considered at arbitrary momentum transfer and all octet and decuplet baryons are included in the intermediate states. Finite range regularisation is applied to improve the convergence in the quark-mass expansion. At each value of the momentum transfer ($Q^2$), a separate extrapolation to the physical pion mass is carried out as a function of $m_{\pi }$ alone. Because of the large values of $Q^2$ involved, the role of the pion form factor in the standard pion-loop integrals is also investigated. The resulting values of the form factors at the physical pion mass are compared with experimental data as a function of $Q^2$ and demonstrate the utility and accuracy of the chiral extrapolation methods presented herein.

19 pages, 10 figures

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Cited by in corpus (45)

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• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Survey of nucleon electromagnetic form factors
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• A pure S-wave covariant model for the nucleon
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Strange magnetic form factor of the proton at $Q^2=0.23$ GeV${}^2$
• Valence quark contributions for the gamma N -> P11(1440) form factors
• Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
• A covariant view on the nucleons' quark core
• Octet baryon electromagnetic form factors in a relativistic quark model
• Nucleon and gamma N -> Delta lattice form factors in a constituent quark model
• Finite-volume and partial quenching effects in the magnetic polarizability of the neutron
• Generalized Parton Distributions from Hadronic Observables: Non-Zero Skewness
• Chiral extrapolations for nucleon electric charge radii
• Electromagnetic form factors of the Delta in a S-wave approach
• Chiral extrapolations for nucleon magnetic moments
• 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
• Nucleon resonance structure in the finite volume of lattice QCD
• The First Moments of Nucleon Generalized Parton Distributions
• Current quark mass dependence of nucleon magnetic moments and radii
• Chiral extrapolation of nucleon magnetic moments at next-to-leading-order
• Strange form factors of nucleon with nonlocal chiral effective Lagrangian
• Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory
• The spin of the proton in chiral effective field theory
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Pure sea-quark contributions to the magnetic form factors of $\Sigma$ baryons
• Solid quantization for non-point particles
• Dependence of nucleon properties on pseudoscalar meson masses
• Chiral extrapolation of nucleon axial charge $g_A$ in effective field theory
• Nucleon magnetic form factors with non-local chiral effective Lagrangian
• A dispersion relation for the pion-mass dependence of hadron properties
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Sea quark contributions to nucleon electromagnetic form factors with the nonlocal chiral effective Lagrangian
• Chiral extrapolation of the doubly charmed baryons magnetic properties
• Sea quark contributions to the electromagnetic form factors of $\Sigma$ hyperons
• Overview of Issues Surrounding Strangeness in the Nucleon
• Ph.D. Thesis: Chiral Effective Field Theory Beyond the Power-Counting Regime