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Charged Lepton Oscillations And (G-2) Measurements, A. Widom, Y. N. Srivastava

Allan Widom

Traditional analysis of g = 2(1+κ) 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 Ω = (κeB/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. π+ → μ+ + νμ) producing muons.