Proton radius from electron-proton scattering and chiral perturbation theory

Abstract

We determine the root-mean-square proton charge radius, $R_{\mathrm{p}}$, from a fit to low-$Q^2$ electron-proton elastic scattering cross section data with the higher moments fixed (within uncertainties) to the values predicted by chiral perturbation theory. We obtain $R_{\mathrm{p}}=0.857(11)$ fm. This number falls between the value obtained from muonic hydrogen analyses and the CODATA value (based upon atomic hydrogen spectroscopy and electron-proton scattering determinations).

arXiv commentUpdated to match published version, with minor numerical changes, and added and corrected references. Conclusions unchanged

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Cited by in corpus (27)

• The proton charge radius
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• The proton structure in and out of muonic hydrogen
• Proton charge radius extraction from electron scattering data using dispersively improved chiral effective field theory
• Precise determination of proton magnetic radius from electron scattering data
• Robust extraction of proton charge radius from electron-proton scattering data
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• Review of experimental and theoretical status of the proton radius puzzle
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors
• How Analytic Choices Can Affect the Extraction of Electromagnetic Form Factors from Elastic Electron Scattering Cross Section Data
• Point-Particle Effective Field Theory II: Relativistic Effects and Coulomb/Inverse-Square Competition
• Nucleon radius effects on neutron stars in quark mean field model
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• Elastic Positron-Proton Scattering at Low Q${}^2$
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• Energy interval 3S-1S in muonic hydrogen
• Comparison of results for the electromagnetic form factors of the proton at low $Q^2$