Low and high energy asymptotic behavior of electroweak corrections in polarized e-e+ → μ-μ+ process

Electroweak radiative corrections will play a major role in the analysis of several upcoming ultra-precision experiments, such as Belle-II, so it is crucial to make sure that they are fully under control. This article outlines the recent developments in the theoretical and computational approaches to one-loop (NLO) electroweak radiative corrections to the parity-violating asymmetry in e(-)e(+) -> mu(-)mu(+)(gamma) process with longitudinally polarized electrons. We derive asymptotic expressions for low and high energy regions (well below or above Z-resonance, correspondingly) and analyze the leading contributions. For most energy regions, our results are in good agreement with precise computer-algebra-based calculation and can be used as a quicker alternative.