Charged Lepton Oscillations and (g-2) Measurements

TL;DR

This paper uses a quantum Dirac spinor approach to analyze charged lepton oscillations and their impact on (g-2) measurements, revealing that survival probability oscillations are fundamental to experimental results and could be affected by neutrino mixing.

Contribution

It introduces a quantum Dirac spinor framework for charged lepton oscillations, providing a more precise analysis of (g-2) experiments and predicting additional oscillations from neutrino mixing.

Findings

Survival probabilities oscillate with frequency rac{ppa eB}{Mc}

Oscillations are integral to successful (g-2) measurements

Additional oscillations may occur due to neutrino mixing

Abstract

Traditional analysis of $g=2(1+\kappa )$ experiments for charged leptons use a classical spin vector picture. For muons, we here employ a more exact Dirac quantum four component spinor theory. Survival probabilities (including wave packet effects) are computed. These oscillate with the frequency $\Omega =(\kappa eB/Mc)$ as has been assumed in previous muon $(g-2)$ experimental analyses; i.e. muon survival probability oscillations are already at the root of previous succesful $(g-2)$ measurements. Further oscillations should also be observed if mixed neutrino mass matrices were to enter into the reactions (e.g. $\pi^+ \to \mu^+ +\nu_\mu$) producing muons.