Three-Higgs-doublet model with $A_4$ symmetry

Abstract

We worked out in detail the three-Higgs-doublet extension of the standard model when the $A_4$ symmetry, which is imposed to solve the flavor problem, is extended to the scalar sector. The three doublets may be related to the fermion mass generation and, in particular, they may be the unique responsible for the generation of the neutrino masses. If this is the case, the respective VEVs have to be quite smaller than the electroweak scale if no fine tuning in the Yukawa couplings is assumed. We consider here the mass spectra in the scalar sector in three different situations. In one of them there are no light scalars at all, but in the other ones a light or two massless scalars, at the tree level, may survive. The later fields are safe, from the phenomenological point of view, since it couples mainly with neutrinos and/or becomes enough massive at the tree level if there exist trilinear interactions. Quantum effects may be important too.

11 pages, no figures, new references added

References in corpus (12)

• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• The Flavor Group Delta(3n^2)
• Flavor Symmetry for Quarks and Leptons
• Simple Finite Non-Abelian Flavor Groups
• A_4 model for the quark mass matrices
• The Private Higgs
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Deviation from tri-bimaximal mixing and flavor symmetry breaking in a seesaw type A4 model
• The flavor problem and discrete symmetries
• Quark and lepton mass matrices with $A_4$ family symmetry

Cited by in corpus (2)

• Group Theory and Dynamics of Neutrino Mixing
• Probing Lepton Flavor Triality with Higgs Boson Decay