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Parity-violating Moller scattering measurements are a powerful probe of newphysics effects, and the upcoming high-precision experiments will require a newlevel of accuracy for electroweak radiative corrections (EWC). First, weperform the updated calculations of one-loop EWC for Moller scatteringasymmetry using two different approaches: semi-automatic, precise, withFeynArts and FormCalc as base languages, and "by hand", with reasonableapproximations. In addition, we provide a tuned comparison between the one-loopresults obtained in two different renormalization schemes: on-shell andconstrained differential renormalization. As the last step, we discuss thetwo-loop EWC induced by squaring one-loop diagrams, and show that thesignificant size of this partial correction indicates a need for a completestudy of the two-loop EWC in order to meet the precision goals of futureexperiments.

High precision calculations of electroweak radiative corrections for polarized Moller scattering at one loop and beyond