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

TL;DR

This paper derives asymptotic expressions for electroweak radiative corrections in polarized electron-positron to muon-antimuon processes at different energy scales, aiding precision measurements in upcoming experiments.

Contribution

It provides new asymptotic formulas for electroweak corrections at low and high energies, simplifying calculations for experimental analyses.

Findings

Asymptotic expressions agree with detailed calculations

Effective for energies well below or above Z-resonance

Facilitates quicker estimations of electroweak corrections

Abstract

Electroweak radiative corrections will play a major role in the analysis of several upcoming ultra-precision experiments such as Belle-II, so is crucial to make sure that they are fully under control. The article outlines the recent developments in the theoretical and computational approaches to one-loop (NLO) electroweak radiative corrections to the parity-violating asymmetry in $e^- e^+ \to \mu^- \mu^+ (\gamma)$ 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 of energy regions, our results are in good agreement with precise computer-algebra based calculation and can used as a quicker alternative.