Polynomial fits and the proton radius puzzle

Abstract

The Proton Radius Puzzle refers to the ~7σ discrepancy that exists between the proton charge radius determined from muonic hydrogen and that determined from electronic hydrogen spectroscopy and electron-proton scattering. One possible partial resolution to the puzzle includes errors in the extraction of the proton radius from ep elastic scattering data. This possibility is made plausible by certain fits which extract a smaller proton radius from the scattering data consistent with that determined from muonic hydrogen. The reliability of some of these fits that yield a smaller proton radius was studied. We found that fits of form factor data with a truncated polynomial fit are unreliable and systematically give values for the proton radius that are too small. Additionally, a polynomial fit with a χ^2_{reduced} ~ 1 is not a sufficient indication for a reliable result.

References in corpus (13)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• 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
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• On the rms-radius of the proton
• High Precision Measurement of the Proton Elastic Form Factor Ratio ${\mu }_p{G}_E/G_M$ at low $Q^2$
• Model independent extraction of the proton charge radius from electron scattering
• The size of the proton - closing in on the radius puzzle
• Implications of the discrepancy between proton form factor measurements
• Proton root-mean-square radii and electron scattering
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• Nonidentical protons

Cited by in corpus (25)

• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Extraction of the proton radius from electron-proton scattering data
• The proton charge radius
• The Proton Radius from Electron Scattering Data
• The interaction region of high energy protons
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Improved estimates of the nuclear structure corrections in $\mu$D
• Proton radius from electron-proton scattering and chiral perturbation theory
• Evaluation of the strength of electron-proton scattering data for determining the proton charge radius
• Fresh extraction of the proton charge radius from electron scattering
• Robust extraction of proton charge radius from electron-proton scattering data
• Review of experimental and theoretical status of the proton radius puzzle
• The Proton Radius from Bayesian Inference
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• Pion charge radius from pion+electron elastic scattering data
• Hadron and light nucleus radii from electron scattering
• Proton rms-radii from low-q power expansions?
• Transverse charge density and the radius of the proton
• Advanced extraction of the deuteron charge radius from electron-deuteron scattering data
• Pauli radius of the proton
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• Sensitivity of the elastic electron-proton cross section to the proton radius
• Radiative corrections to elastic proton-electron scattering measured in coincidence
• Merits and constraints of low-${\mathbf{K}}^2$ experimental data for the proton radius determination
• Estimating proton radius and proportion of other non-perturbative components in the proton by the Maximum Entropy Method