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Electroweak radiative corrections will play a major role in the analysis ofseveral upcoming ultra-precision experiments such as Belle-II, so is crucial tomake sure that they are fully under control. The article outlines the recentdevelopments in the theoretical and computational approaches to one-loop (NLO)electroweak radiative corrections to the parity-violating asymmetry in $e^- e^+\to \mu^- \mu^+ (\gamma)$ process with longitudinally polarized electrons. Wederive asymptotic expressions for low and high energy regions (well below orabove $Z$-resonance, correspondingly) and analyze the leading contributions.For most of energy regions, our results are in good agreement with precisecomputer-algebra based calculation and can used as a quicker alternative.

Low and High Energy Asymptotic Behavior of Electroweak Corrections in Polarized $e^+ e^- \to \mu^+ \mu^-$ Process