Broken $S_3$ Neutrinos

Abstract

Motivated by recent measurements which strongly support a nonzero reactor mixing angle ${\theta }_{13}$, we study a deviation from $S_3$ neutrino discrete symmetry by explicitly breaking the neutrino mass matrix with a general retrocirculant matrix. We show that nonzero ${\theta }_{13}$ and nonzero CP violation parameter $J_{CP}$ arise due to the difference between $y_2$ and $y_3$. We demonstrate that it is possible to obtain the experimentally favored results for neutrino masses and mixing angles from this mass matrix. Furthermore, we estimate the effective masses $m_{\beta }$ and $m_{\beta \beta }$ and total neutrino mass $\sum |m_i|$ predicted by this mass matrix.

10 pages, 6 figures, typos corrected

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• GAP listing of the finite subgroups of U(3) of order smaller than 2000
• An $S_3$ flavored left-right symmetric model of quarks
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Implications Of The Higgs Discovery On Physics Beyond The Standard Model
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry