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Lepton Flavour Eigenstates do not Exist if Neutrinos are Massive: `Neutrino Oscillations' Reconsidered

J. H. Field
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Abstract

If neutrinos are massive, `lepton flavour eigenstates' are absent from the amplitudes of all Standard Model processes. Measurements of $Γ(π\to e ν)/Γ(π\to μν)$ and of the MNS matrix are shown to exclude the existence of such states. Incoherent production of neutrinos of different flavour modifies the usual oscillation phase derived assuming production of a lepton flavour eigenstate. The new prediction can be tested in long line-base experiments by comparison of `$ν_μ$ disappearance' of neutrinos from pion and kaon decay.

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J. H. Field. 2003-01-27. Lepton Flavour Eigenstates do not Exist if Neutrinos are Massive: `Neutrino Oscillations' Reconsidered. https://arxiv.org/abs/hep-ph/0301231

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