Proton charge radius extraction from electron scattering data using dispersively improved chiral effective field theory

Abstract

We extract the proton charge radius from the elastic form factor (FF) data using a novel theoretical framework combining chiral effective field theory and dispersion analysis. Complex analyticity in the momentum transfer correlates the behavior of the spacelike FF at finite $Q^2$ with the derivative at $Q^2=0$. The FF calculated in the predictive theory contains the radius as a free parameter. We determine its value by comparing the predictions with a descriptive global fit of the spacelike FF data, taking into account the theoretical and experimental uncertainties. Our method allows us to use the finite-$Q^2$ FF data for constraining the radius (up to $Q^2\sim$ 0.5 GeV${}^2$ and larger) and avoids the difficulties arising in methods relying on the $Q^2\to 0$ extrapolation. We obtain a radius of 0.844(7) fm, consistent with the high-precision muonic hydrogen results.

arXiv comment8 pages, 5 figures

References in corpus (24)

• To Explain or to Predict?
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• High-precision determination of the electric and magnetic form factors of the proton
• Muonic hydrogen and the proton radius puzzle
• The electric and magnetic form factors of the proton
• The Proton Radius Puzzle
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• Dispersion analysis of the nucleon form factors including meson continua
• Model independent extraction of the proton charge radius from electron scattering
• Extraction of the proton radius from electron-proton scattering data
• Proton and neutron electromagnetic form factors and uncertainties
• The size of the proton - closing in on the radius puzzle
• Defining the Proton Radius: a Unified Treatment
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Are Electron Scattering Data Consistent with a Small Proton Radius?
• The Proton Radius from Electron Scattering Data
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Proton radius from electron-proton scattering and chiral perturbation theory
• Robust extraction of proton charge radius from electron-proton scattering data
• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Technical Design Report for the Paul Scherrer Institute Experiment R-12-01.1: Studying the Proton "Radius" Puzzle with μp Elastic Scattering
• Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors
• Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory
• Bias-Variance Trade-off and Model Selection for Proton Radius Extractions

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• Properties of the Sachs electric form factor of the proton on the basis of recent $e-p$ scattering experiments and hydrogen spectroscopy
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