Discrete flavor symmetry and minimal seesaw mechanism

Abstract

This work proposes a neutrino mass model that is derived using the minimal seesaw mechanism which contains only two right-handed neutrinos, under the non-abelian discrete flavor symmetry ${\mathbb{S}}_4\otimes {\mathbb{Z}}_2$. Two standard model doublets, $L_{\mu }$ and $L_{\tau }$, are assigned simultaneously to a $2$ representation of ${\mathbb{S}}_4$. When the scalar fields introduced in this model, addition to the Standard Model Higgs, and the leptons are coupled within the symmetry, the seesaw mechanism results in the tri-bi-maximal neutrino mixing. This study examined the possible deviations from TBM mixing related to the experimental data.

arXiv comment12 pages, 2 figures

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• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Symmetries for the 4HDM: extensions of cyclic groups