Non-vanishing $U_{e3}$ under $S_3$ symmetry

Details Non-vanishing $U_{e3}$ under $S_3$ symmetry Non-vanishing $U_{e3}$ under $S_3$ symmetry

2012-03-07

arxiv.org/abs/1203.1593v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

2 figures

Scientific paper

This work proposes a neutrino mass model that predicts non-zero $\theta_{13}$ under the non-Abelian discrete flavor symmetry $\mathbb{S}_3\otimes\mathbb{Z}_2$. We stress that the non-vanishing angle is based on the flavor symmetry, not on a deviation from TBM. By changing the charge assignment of righthanded neutrinos, the difference between a model with $U_{e3} = 0$ and one with $U_{e3} \neq 0$ is understood as a group theoretical consequence. The 5 dimensional effective theory of Majorana neutrinos obtained in this framework is tested with phenomenological bounds in the parametric spaces $\sin\theta_{23}, \sin\theta_{12}$ and $m_2/m_3$ vs. $\sin\theta_{13}$.

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