Simplest Neutrino Mixing from S4 Symmetry

Abstract

In 2004, two of us proposed a texture, the "Simplest" neutrino mass matrix, which predicted sin(theta13)=sqrt((2 Solar-Delta m^2)/(3 Atm-Delta m^2)) and delta_CP=90 degrees. Using today's measured values for neutrino mass-squared differences, this prediction gives sin^2(theta13)~0.086+0.003-0.006, compared with a measured value, found by averaging the results of the Daya Bay and RENO experiments, of sin^2(theta13)=0.093+0.010-0.010. Here we present a specific model based on S4 symmetry leading to this successful texture in the context of the type-1 see-saw mechanism, assuming Majorana neutrinos. In this case, slightly different predictions are obtained relating theta13 to the light neutrino masses, which are in accord with current experimental limits and testable at future experiments. Large CP asymmetries remain a generic prediction of the texture.

15 pages, 3 figures, to appear in Journal of High Energy Physics, preprint typeset in JHEP style

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• Observation of electron-antineutrino disappearance at Daya Bay
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• Simple two Parameter Description of Lepton Mixing
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Cited by in corpus (30)

• Neutrino Mass and Mixing with Discrete Symmetry
• Flavor structures of charged fermions and massive neutrinos
• Unified Models of Neutrinos, Flavour and CP Violation
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Generalised CP and $A_4$ Family Symmetry
• Pieces of the Flavour Puzzle
• Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• Generalised CP and $\Delta (96)$ Family Symmetry
• Mixing Patterns from the Groups Sigma (n phi)
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Status of Neutrino Mass and Mixing
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• An $S_4$ model inspired from self-complementary neutrino mixing
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Neutrino mass, leptogenesis and sterile neutrino dark matter in inverse seesaw framework
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Resonant leptogenesis and TM${}_1$ mixing in minimal Type-I seesaw model with S${}_4$ symmetry