High-precision determination of the electric and magnetic radius of the proton

Using dispersion theory with an improved description of the two-pion continuum based on the precise Roy-Steiner analysis of pion-nucleon scattering, we analyze recent data from electron-proton scattering. This allows for a high-precision determination of the electric and magnetic radius of the proton, r(E) = (0.838(-0.004-0.003)(+0.005+0.004)) fm and r(M) = (0.847 +/- 0.004 +/- 0.004) fm, where the first error refers to the fitting procedure using bootstrap and the data while the second one refers to the systematic uncertainty related to the underlying spectral functions. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

Utilizing dispersion theory and an improved description of the two-pion continuum based on precise Roy-Steiner analysis of pion-nucleon scattering, recent data from electron-proton scattering was analyzed. This allowed for a high-precision determination of the electric and magnetic radius of the proton.