Radiative corrections to fixed target Møller scattering including hard bremsstrahlung effects

We present a calculation of the complete $\mathcal{O}\left(\alpha \right)$ electroweak radiative corrections to the Møller scattering process $e^{-}{e}^{-}\to e^{-}{e}^{-},$ including hard bremsstrahlung contributions. We study the effects of these corrections on both the total cross section and polarization asymmetry measured in low energy fixed target experiments. Numerical results are presented for the experimental cuts relevant for E-158, a fixed target $e^{-}{e}^{-}$ experiment being performed at SLAC; the effect of hard bremsstrahlung is to shift the measured polarization asymmetry by $\approx +4\%.\mathrm{}$ We briefly discuss the remaining theoretical uncertainty in the prediction for the low energy Møller scattering polarization asymmetry.