Leptonic radiative corrections to elastic deuteron-electron scattering

International audienceQED first-order radiative corrections to the differential cross section for elastic scattering of deuterons on electrons at rest are calculated. Radiative corrections due to soft- and hard-photon bremsstrahlung from the electron lines, the electron vertex correction, and the electron vacuum polarization are considered. The model-dependent contributions due to the bremsstrahlung from the deuteron and the deuteron vertex correction, depending on its internal structure, are not included. We consider an experimental setup where the final particles are recorded in coincidence and their energies are determined within some uncertainties. Formulas for the relevant kinematical variables, the cross section, and the radiative corrections are derived and numerical results are presented