  We present a treatment of the next-to-leading-order radiative corrections to
unpolarized Moller and Bhabha scattering without resorting to
ultra-relativistic approximations. We extend existing soft-photon radiative
corrections with new hard-photon bremsstrahlung calculations so that the effect
of photon emission is taken into account for any photon energy. This
formulation is intended for application in the OLYMPUS experiment and the
upcoming DarkLight experiment, but is applicable to a broad range of
experiments at energies where QED is a sufficient description.
