Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry

Details Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry Realizing Tri-bimaximal Mixing in Minimal Seesaw Model with S4 Family Symmetry

2011-06-14

arxiv.org/abs/1106.2715v4

Phys.Lett.B701:609-613,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, accepted for publication in PLB

Scientific paper

10.1016/j.physletb.2011.06.050

In this paper, we realize the tri-bimaximal mixing in the lepton sector in the context of minimal seesaw in which only two right-handed neutrinos are introduced, with the discrete group $S4$ as the family symmetry. In order to constrain the form of superpotential, a $Z3$ symmetry is also introduced. In the model, the mass matrices for charged leptons and right-handed neutrinos are diagonal. The unitary matrix that diagonalizes the light Majorana neutrino mass matrix is exact tri-bimaximal at LO, and is corrected by small quantities of $\mathcal{O}(0.01)$ at NLO. The mechanism to get the particular scalar VEV alignments used is also presented. Phenomenologically, the mass spectrum is of normal hierarchy with $m_1=0$, and $\sum m_i$ and $|m_{ee}|$ are about $0.058 eV$ and $0.003 eV$ respectively.

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