An $S_4$ model inspired from self-complementary neutrino mixing

Abstract

We build an $S_4$ model for neutrino masses and mixings based on the self-complementary (SC) neutrino mixing pattern. The SC mixing is constructed from the self-complementarity relation plus ${\delta }_{\mathrm{CP}}=-\frac{\pi }{2}$. We elaborately construct the model at a percent level of accuracy to reproduce the structure given by the SC mixing. After performing a numerical study on the model's parameter space, we find that in the case of normal ordering, the model can give predictions on the observables that are compatible with their $3\sigma$ ranges, and give predictions for the not-yet observed quantities like the lightest neutrino mass $m_1\in [0.003,0.010]$ eV and the Dirac CP violating phase ${\delta }_{\mathrm{CP}}\in [256.72^{\circ },283.33^{\circ }]$.

updated analysis using the latest global analysis; references added; matches version accepted for publication in J. Phys. G: Nucl. Part. Phys

References in corpus (12)

• Observation of electron-antineutrino disappearance at Daya Bay
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Background free search for neutrinoless double beta decay with GERDA Phase II
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Predicting the Values of the Leptonic CP Violation Phases
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Quark-lepton complementarity and self-complementarity in different schemes
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• On self-complementarity relations of neutrino mixing
• Determination of the mixing between active neutrinos and sterile neutrino through the quark-lepton complementarity and self-complementarity
• The Majorana neutrino mass matrix indicated by the current data

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• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?