NLO radiative corrections for Forward-Backward and Left-Right Asymmetries at a B-Factory

Abstract

This paper presents the first calculations of the parity-violating polarization asymmetry and forward-backward asymmetry of the $e^{-}{e}^{+}\to {\mu }^{+}{\mu }^{-}(\gamma )$ process at a center-of-mass energy of 10.58 GeV with up to one-loop electroweak radiative corrections. The calculations are relevant for future precision electroweak measurements at the Belle~II experiment, which is now collecting data at the SuperKEKB $e^{-}{e}^{+}$ collider with a center-of-mass energy at the mass of the ${\rm Y}(4S)$ resonance. In this paper we take under full control the bremsstrahlung process at the conditions of Belle II/SuperKEKB, and the possibilities for a soft photon approach are discussed. The scale of the obtained relative corrections to the parity-violating and forward-backward asymmetries is significant and the scattering angle dependencies of the asymmetries is non-trivial. As an additional validation cross-check using an independent formulation, the calculated asymmetries are compared to results from the KK Monte Carlo generator.

Fixed few typos in the text

References in corpus (2)

• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Electroweak radiative corrections for polarized Moller scattering at future 11 GeV JLab experiment

Cited by in corpus (4)

• Parity violation in Møller scattering within low-energy effective field theory
• Electroweak Physics with Polarized Electron Beams in a SuperKEKB Upgrade
• Characterizing Dark Bosons at Chiral Belle
• Left-right asymmetry calculation comparisons and projected sensitivity to the weak mixing angle in polarized Bhabha scattering at 10.58 GeV