  Parity-violating Moller scattering measurements are a powerful probe of new
physics effects, and the upcoming high-precision experiments will require a new
level of accuracy for electroweak radiative corrections (EWC). First, we
perform the updated calculations of one-loop EWC for Moller scattering
asymmetry using two different approaches: semi-automatic, precise, with
FeynArts and FormCalc as base languages, and "by hand", with reasonable
approximations. In addition, we provide a tuned comparison between the one-loop
results obtained in two different renormalization schemes: on-shell and
constrained differential renormalization. As the last step, we discuss the
two-loop EWC induced by squaring one-loop diagrams, and show that the
significant size of this partial correction indicates a need for a complete
study of the two-loop EWC in order to meet the precision goals of future
experiments.
