Dirac Neutrinos with $S_4$ Flavor Symmetry in Warped Extra Dimensions

Abstract

We present a warped extra dimension model with the custodial symmetry $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_X\times P_{LR}$ based on the flavor symmetry $S_4\times Z_2\times Z_2^{\prime }$, and the neutrinos are taken to be Dirac particles. At leading order, the democratic lepton mixing is derived exactly, and the high dimensional operators introduce corrections of order ${\lambda }_c$ to all the three lepton mixing angles such that agreement with the experimental data can be achieved. The neutrino mass spectrum is predicted to be of the inverted hierarchy and the second octant of ${\theta }_{23}$ is preferred. We suggest the modified democratic mixing, which is obtained by permuting the second and the third rows of the democratic mixing matrix, should be a good first order approximation to understanding sizable ${\theta }_{13}$ and the first octant of ${\theta }_{23}$. The constraints on the model from the electroweak precision measurements are discussed. Furthermore, we investigate the lepton mixing patterns for all the possible residual symmetries $G_{\nu }$ and $G_l$ in the neutrino and charged lepton sectors, respectively.

42 pages, 5 figures

References in corpus (48)

• Planck 2013 results. XVI. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Observation of electron-antineutrino disappearance at Daya Bay
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• A custodial symmetry for Zbb
• Global status of neutrino oscillation parameters after Neutrino-2012
• Global fit to three neutrino mixing: critical look at present precision
• Updated Values of Running Quark and Lepton Masses
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• High resolution CMB power spectrum from the complete ACBAR data set
• Flavor Physics in the Randall-Sundrum Model: I. Theoretical Setup and Electroweak Precision Tests
• Light Kaluza-Klein States in Randall-Sundrum Models with Custodial SU(2)
• Delta F=2 Observables and Fine-Tuning in a Warped Extra Dimension with Custodial Protection
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Rare K and B Decays in a Warped Extra Dimension with Custodial Protection
• Evidence of Electron Neutrino Appearance in a Muon Neutrino Beam
• Flavor from Minimal Flavor Violation & a Viable Randall-Sundrum Model
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Probing the Randall-Sundrum geometric origin of flavor with lepton flavor violation
• Natural Neutrino Masses and Mixings from Warped Geometry
• A GIM Mechanism from Extra Dimensions
• First Measurement of θ_13 from Delayed Neutron Capture on Hydrogen in the Double Chooz Experiment
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Minimal Flavor Protection: A New Flavor Paradigm in Warped Models
• Flavour physics of the RS model with KK masses reachable at LHC
• The Gaugephobic Higgs
• Discrete symmetries and model-independent patterns of lepton mixing
• An A4 flavor model for quarks and leptons in warped geometry
• Solving the flavour problem with hierarchical fermion wave functions
• Warped Electroweak Breaking Without Custodial Symmetry
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Suppressing Electroweak Precision Observables in 5D Warped Models
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• Minimal Flavor Violation in the Lepton Sector of the Randall-Sundrum Model
• Next to Minimal Flavor Violation
• Group Theory and Dynamics of Neutrino Mixing
• What we (would like to) know about the neutrino mass
• 5D Perspective on Higgs Production at the Boundary of a Warped Extra Dimension
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Theta(13) and charged Lepton Flavor Violation in "warped" A(4) models
• Neutrino Mixing and Discrete Symmetries
• Higgs Bosons in Warped Space, from the Bulk to the Brane
• Horizontal Symmetries $\Delta (150)$ and $\Delta (600)$
• CP violation and FCNC in a warped A4 flavor model
• Leptonic Mixing and Group Structure Constants

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