Fresh Extraction of the Proton Charge Radius from Electron Scattering

We present a novel method for extracting the proton radius from elastic electron-proton ($ep$) scattering data. The approach is based on interpolation via continued fractions augmented by statistical sampling and avoids any assumptions form of function used representation data subsequent extrapolation onto $Q^2\simeq 0$. Applying to extant modern $e p$ sets, we find that all results are mutually consistent and, combining them, arrive at $r_p=0.847(8)\,$fm. This result compares favourably with values obtained contemporary measurements Lamb shift in muonic hydrogen, transitions electronic deuterium spectroscopy.