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

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

2003-01-27

arxiv.org/abs/hep-ph/0301231v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 tables, no figures

Scientific paper

If neutrinos are massive, `lepton flavour eigenstates' are absent from the amplitudes of all Standard Model processes. Measurements of $\Gamma(\pi \to e \nu)/\Gamma(\pi \to \mu \nu)$ 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 `$\nu_{\mu}$ disappearance' of neutrinos from pion and kaon decay.

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