Generalised CP and Trimaximal TM${}_1$ Lepton Mixing in $S_4$ Family Symmetry

Abstract

We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z_2^{SU}$ subgroup in the neutrino sector, as a consequence, the trimaximal ${\text{TM}}_1$ lepton mixing is produced. Depending on the free parameters in the flavon potential, the Dirac CP is predicted to be either conserved or maximally broken, and the Majorana CP phases are trivial. The two models differ in the neutrino sector. The flavon fields are involved in the Dirac mass terms at leading order in the first model, and the neutrino mass matrix contains three real parameters such that the absolute neutrino masses are fixed. Nevertheless, the flavon fields enter into the Majorana mass terms at leading order in the second model. The leading order lepton mixing is of the tri-bimaximal form which is broken down to ${\text{TM}}_1$ by the next to leading order contributions.

28 pages

References in corpus (16)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Global status of neutrino oscillation parameters after Neutrino-2012
• Global fit to three neutrino mixing: critical look at present precision
• Status of three-neutrino oscillation parameters, circa 2013
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Possible Alternatives to Tri-bimaximal Mixing
• S_4 Flavored CP Symmetry for Neutrinos
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Baseline optimization for the measurement of CP violation, mass hierarchy, and ${\theta }_{23}$ octant in a long-baseline neutrino oscillation experiment
• Quark-lepton complementarity and tribimaximal neutrino mixing from discrete symmetry
• A new relation between quark and lepton mixing matrices
• Geometrical CP violation in the N-Higgs-doublet model
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry

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