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Zeros in the magic neutrino mass matrix

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arxiv 1607.08328 v3 pith:ODYP7PZ4 submitted 2016-07-28 hep-ph

classification hep-ph
keywords massneutrinodeltamatrixfindmagiczerosacceptable
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abstract

We study the phenomenological implications of the presence of two zeros in a magic neutrino mass matrix. We find that only two such patterns of the neutrino mass matrix are experimentally acceptable. We express all the neutrino observables as functions of one unknown phase $\phi$ and two known parameters $\Delta m^{2}_{12}$, $r=\Delta m^{2}_{12}/\Delta m^{2}_{23}$. In particular, we find $\sin^2 \theta_{13}=(2/3)r/(1+r)$. We also present a mass model for the allowed textures based upon the group $A_{4}$ using type I+II see-saw mechanism.

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