Flavor Neutrino Masses giving sinθ_{13}=0

Details Flavor Neutrino Masses giving sinθ_{13}=0 Flavor Neutrino Masses giving sinθ_{13}=0

2010-09-05

arxiv.org/abs/1009.0887v2

Phys.Lett.B693:571-574,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, typos corrected and references updated

Scientific paper

10.1016/j.physletb.2010.09.009

Among neutrino mixings, the reactor mixing angle, \theta_{13}, is observed to be almost vanishing and is consistent with \theta_{13}=0. We discuss how the condition of \theta_{13}=0 constrains models of neutrino mixings and show that, for flavor neutrino masses given by M_{ij} (i,j=e,\mu,\tau), two conditions of M_{e\tau}=-e^{2i\gamma}tan(\theta_{23})M_{e\mu} and M_{\tau\tau}=e^{4i\gamma}M_{\mu\mu}+e^{2i\gamma}[2/tan(2\theta_{23})]M_{\mu\tau} lead to \theta_{13}=0, where \theta_{23} is the atmospheric neutrino mixing angle and \gamma is its associated phase. The rephasing invariance can select two phases provided by \alpha=arg(M_{e\mu}) and \beta=arg(M_{e\tau}), giving \gamma=(\beta-\alpha)/2.

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