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

Abstract

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, $r_E=(0.838_{-0.004}^{+0.005}{}_{-0.003}^{+0.004})$fm and $r_M=(0.847\pm 0.004\pm 0.004)$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.

8 pages, 2 figures, more discussions and references added, version accepted for publication in Physics Letters B

References in corpus (7)

• The Proton Radius Puzzle
• Dispersion analysis of the nucleon form factors including meson continua
• The size of the proton - closing in on the radius puzzle
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• The proton radius: From a puzzle to precision

Cited by in corpus (5)

• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• The proton radius (puzzle?) and its relatives
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen