Abstract
QED radiative corrections to elastic electron-proton scattering at low energies are discussed. Corrections to the electron line and effects due to vacuum polarization are computed. Higher order effects are estimated for the conditions of the experiment on the electric and magnetic proton form factors by A1 Collaboration. Calculations are performed within the next-to-leading approximation. Inclusion of the higher order effects can affect the value of the proton charge radius extracted from the experimental data.
Highlights
First of all, our paper is motivated by recent very accurate experimental measurements of the electron–proton elastic scattering at the Mainz Microtron (MAMI) [1]
Besides extraction of the proton electromagnetic form factors, the experiment managed to define the value of the proton electric charge radius with high precision
It is worth to note that the result for the charge radius extracted from the electron–proton scattering data was found to be inconsistent with the one obtained from muonic hydrogen [2]
Summary
Our paper is motivated by recent very accurate experimental measurements of the electron–proton (ep) elastic scattering at the Mainz Microtron (MAMI) [1]. The average point-to-point errors in the cross sections measurement was of the order of a few permille. Besides extraction of the proton electromagnetic form factors, the experiment managed to define the value of the proton electric charge radius with high precision. It is worth to note that the result for the charge radius extracted from the electron–proton scattering data was found to be inconsistent with the one obtained from muonic hydrogen [2]. The disagreement stimulates theoretical studies aimed at its resolution. In the present paper we are going to discuss several effects which can affect the data analysis of low-energy elastic electron–proton scattering
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