A Minimal Model of Neutrino Flavor

Abstract

Models of neutrino mass which attempt to describe the observed lepton mixing pattern are typically based on discrete family symmetries with a non-Abelian and one or more Abelian factors. The latter so-called shaping symmetries are imposed in order to yield a realistic phenomenology by forbidding unwanted operators. Here we propose a supersymmetric model of neutrino flavor which is based on the group T7 and does not require extra Z_N or U(1) factors, which makes it the smallest realistic family symmetry that has been considered so far. At leading order, the model predicts tribimaximal mixing which arises completely accidentally from a combination of the T7 Clebsch-Gordan coefficients and suitable flavon alignments. Next-to-leading order (NLO) operators break the simple tribimaximal structure and render the model compatible with the recent results of the Daya Bay and Reno collaborations which have measured a reactor angle of around 9 degrees. Problematic NLO deviations of the other two mixing angles can be controlled in an ultraviolet completion of the model.

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• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
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• Quark and Leptonic Mixing Patterns from the Breakdown of a Common Discrete Flavor Symmetry
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• Fermion and scalar phenomenology of a 2-Higgs doublet model with $S_3$
• A predictive $331$ model with $A_4$ flavour symmetry
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• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• Neutrino Mixing and Discrete Symmetries
• Heterotic non-Abelian orbifolds
• Predictivity of Neutrino Mass Sum Rules
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Symmetry based parameterizations of the lepton mixing matrix
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• New mixing schemes for (3+1) neutrinos
• $\mathcal{C}\mathcal{P}$ violation with an unbroken $\mathcal{C}\mathcal{P}$ transformation
• Phenomenology of Trimaximal mixing with one texture equality
• Sum Rules for Leptons
• Clebsch-Gordan coefficients of discrete groups in subgroup bases
• Neutrino Mass Sum Rules
• Neutrino Oscillations in the Three Flavor Paradigm