Radiative Corrections to Electron-Induced Processes

Radiative corrections are calculated for a class of electron-induced processes in which the final electron is not observed. The process can either be a nuclear excitation process or a production process in which a particle, e.g., a pion, is produced. The calculated radiative corrections are found to be considerably smaller than those of comparable processes in which the final electron is detected at some nonforward angle. The result also exhibits a linear logarithmic dependence on the initial electron energy if the ratio $\frac{E_{\mathrm{final}}}{E_{\mathrm{initial}}}$ is kept constant.