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

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• Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
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• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
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