Proton charge radius from a dispersive analysis of the latest space-like $e$-$p$ scattering data

TL;DR

This paper uses a dispersion theoretical approach to analyze recent electron-proton scattering data, achieving high-precision measurements of the proton's electric and magnetic radii with minimized uncertainties.

Contribution

It introduces a dispersive analysis method for recent scattering data, providing more accurate proton radius measurements with detailed uncertainty quantification.

Findings

Proton electric radius: 0.839 fm with small uncertainties.

Proton magnetic radius: 0.846 fm with small uncertainties.

High-precision radii consistent with previous measurements.

Abstract

We present a dispersion theoretical analysis of recent date from electron-proton scattering. This allows for a high-precision extraction of the electric and magnetic radius of the proton, $r_E = (0.839\pm 0.002{}^{+0.002}_{-0.003})$~fm and $r_M = (0.846\pm 0.001{}^{+0.001}_{-0.005})$~fm, where the first error refers to the statistical type estimated from the bootstrap method, and the second one refers to the systematic uncertainty related to the underlying spectral functions.