Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory

• DOI: 10.48550/arxiv.2307.09680
• Publication Date: 2023-01-01
• Authors: Jingyi Zhou; V. Khachatryan; Igor Akushevich; H. Gao; A. A. Ilyichev; C. Peng; Stanislav Srednyak; Weizhi Xiong
• Keywords: Charge radius; Classical electron radius

Analogous to the well-known proton charge radius puzzle, a similar puzzle exists for deuteron radius, $r_{d}$. There are discrepancies observed in results of $r_{d}$, measured from electron-deuteron ($e-d$) scattering experiments, as well atomic spectroscopy. In order help resolve deuteron, PRad collaboration at Jefferson Lab has proposed an experiment measuring named DRad. This is designed measure unpolarized elastic $e-d$ cross section low-$Q^{2}$ region. To extract with high precision, having reliable knowledge QED radiative corrections important. this paper, we present complete numerical calculations lowest-order DRad kinematics. The have been performed within covariant formalism and beyond ultra-relativistic approximation ($m_{e}^{2} \ll Q^{2}$). Besides, systematic uncertainty on $r_{d}$ arising higher-order corrections, estimated based our cross-section results.