Discrete symmetries and neutrino masses

Abstract

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 $(2/3)m_2/m_3\sim \sqrt{2}\sin {\theta }_{13}$ at lepton number violating scale $M_1$. It is shown that the small values for $m_2/m_3$ and $\sin {\theta }_{13}$ are consequences of breaking discrete symmetries.

11 pages, verseion published in PRD