Discrete symmetries and neutrino masses

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We constructed a model of neutrino masses using Froggatt-Nielsen mechanism with $U(1) \times Z_3 \times Z_2$ flavor symmetry. The model predicts that $(2/3)m_2/m_3 \sim \sqrt{2}\sinθ_{13}$ at lepton number violating scale $M_1$. It is shown that the small values for $m_2/m_3$ and $\sinθ_{13}$ are consequences of breaking discrete symmetries.
11 pages, verseion published in PRD

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