Radiative Corrections toπ−eScattering

The radiative corrections to order ${\alpha }^3$ for $\pi -e$ scattering have been calculated. The inelastic part of the radiative corrections have been realistically handled assuming an experimental setup, much like that of Fitch, Leipuner et al. at Brookhaven, where the energies of both final particles are measured. Although large logsquared terms are found in the results, they are always cancelled by comparable terms. The reason for their appearance can be directly related to the nature of the experimental situation.