Z_4 flavor model in Randall-Sundrum model 1

Abstract

Randall Sundrum models provide a possible explanation of (gauge-gravity) hierarchy, whereas discrete symmetry flavor groups yield a possible description of the texture of Standard Model fermion masses. We use both these ingredients to propose a five-dimensional extension of the Standard Model where the mass hierarchy of the four-dimensional effective field theory is obtained only using localizations parameters of order 1. We consider a bulk custodial gauge symmetry group together with an Abelian $Z_4$ group: the model turns out to yield a rather minimal extension of the SM as it only requires two brane Higgs fields to provide the desired Yukawa interactions and the required spontaneous symmetry breaking pattern. In fact, the presence of an extra-dimension allows the use of the Scherk-Schwarz mechanism to contribute to the breaking of the bulk custodial group down to the SM gauge symmetry. Moreover, no right-handed neutrinos are present and neutrino masses are generated radiatively with the help of a bulk charged scalar field that provides the Lepton-number violation. Using experimental inputs from the Global Neutrino Analysis and recent Daya Bay results, a numerical analysis is performed and allowed parameter regions are displayed.

23 pages, 3 figures. A brief discussion on contribution from higher order operators has been added, a few typos corrected and references added. Version to appear in Phys. Rev. D

References in corpus (11)

• Observation of electron-antineutrino disappearance at Daya Bay
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Higgs Mediated FCNC's in Warped Extra Dimensions
• The Custodial Randall-Sundrum Model: From Precision Tests to Higgs Physics
• An A4 flavor model for quarks and leptons in warped geometry
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• The WiggleZ Dark Energy Survey: Cosmological neutrino mass constraint from blue high-redshift galaxies
• Minimal Flavor Violation in the Lepton Sector of the Randall-Sundrum Model
• A Solution to the Flavor Problem of Warped Extra-Dimension Models
• Neutrino masses generation in a Z_4 model
• Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices

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• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle
• Bulk Majorana mass terms and Dirac neutrinos in Randall Sundrum Model
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• Towards a Model of Quarks and Leptons
• Revisiting neutrino masses from Planck scale operators