Charged Lepton Oscillations and (g-2) Measurements

Abstract

Traditional analysis of $g=2(1+\hat{I}º)$ 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 $\hat{I}\text{c◯}=(\hat{I}ºeB/Mc)$ 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. $\ddot{I}{€}^{+}\to \hat{I}{¼}^{+}+\hat{I}{½}_{\hat{I}}¼$) producing muons.

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