Precise determination of low-Q nucleon electromagnetic form factors and their impact on parity-violating e-p elastic scattering

Abstract

The extraction of the strangeness form factors from parity violating elastic electron-proton scattering is sensitive to the electromagnetic form factors at low Q^2. We provide parameterizations for the form factors and uncertainties, including the effects of two-photon exchange corrections to the extracted EM form factors. We study effect of the correlations between different form factors, in particular as they impact the parity violating asymmetry and the extraction of the strangeness form factors. We provide a prescription to extract the strangeness form factors from the asymmetry that provides an excellent approximation of the full two-photon correction. The corrected form factors are also appropriate as input for other low-Q analyses, although the effects of correlations and two-photon exchange corrections may be different.

arXiv comment9 pages, 4 figures, to be submitted to Phys. Rev. C

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• Global analysis of proton elastic form factor data with two-photon exchange corrections
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• Precision Measurement of the Weak Charge of the Proton
• Review of two-photon exchange in electron scattering
• Extraction of the proton radius from electron-proton scattering data
• Proton and neutron electromagnetic form factors and uncertainties
• Vector and Axial Nucleon Form Factors:A Duality Constrained Parameterization
• Low Q^2 measurements of the proton form factor ratio $m{u}_p{G}_E/G_M$
• Towards a resolution of the proton form factor problem: new electron and positron scattering data
• New Precision Limit on the Strange Vector Form Factors of the Proton
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Electromagnetic form factors of the nucleon: new fit and analysis of uncertainties
• Nucleon electromagnetic form factors in two-flavour QCD
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Proton structure corrections to hyperfine splitting in muonic hydrogen
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• The proton structure in and out of muonic hydrogen
• Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
• The Proton Elastic Form Factor Ratio at Low Momentum Transfer
• Fresh extraction of the proton charge radius from electron scattering
• Robust extraction of proton charge radius from electron-proton scattering data
• Parity Violation in Elastic Electron-Nucleon Scattering: Strangeness Content in the Nucleon
• Comparison of Neural Network and Hadronic Model Predictions of Two-Photon Exchange Effect
• Proton Electromagnetic Form Factor Ratios at Low Q^2
• Hadron and light nucleus radii from electron scattering
• Demonstration of a novel technique to measure two-photon exchange effects in elastic $e^{\pm }p$ scattering
• PRad-II: A New Upgraded High Precision Measurement of the Proton Charge Radius
• Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
• Determination of the strange nucleon form factors
• A self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen
• Neural Network Parameterizations of Electromagnetic Nucleon Form Factors
• Transverse charge density and the radius of the proton
• Advanced extraction of the deuteron charge radius from electron-deuteron scattering data
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution
• Reinterpretation of classic proton charge form factor measurements
• Global Fit of Electron and Neutrino Elastic Scattering Data to Determine the Strange Quark Contribution to the Vector and Axial Form Factors of the Nucleon
• Parity Violating Effects in Elastic Electron Deuteron Scattering
• Super-Rosenbluth Measurements with Electrons and Positrons
• A measurement of two-photon exchange in Super-Rosenbluth separations with positron beams
• Comment on "Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution"
• Unpolarized nucleon structure studies utilizing polarized electromagnetic probes
• Reply to "Comment on `Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution'"