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

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Cited by in corpus (29)

• CP and Discrete Flavour Symmetries
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• Symmetry breaking patterns in 3HDM
• Lepton masses and mixings in a $A_4$ multi-Higgs model with radiative seesaw mechanism
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• Discrete symmetries in the three-Higgs-doublet model
• Abelian symmetries in multi-Higgs-doublet models
• Abelian symmetries in multi-Higgs-doublet models
• Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential
• Geometric minimization of highly symmetric potentials
• Neutrino Mixings and the S4 Discrete Flavour Symmetry
• Z_p scalar dark matter from multi-Higgs-doublet models
• Group Theory and Dynamics of Neutrino Mixing
• $S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models
• A predictive $331$ model with $A_4$ flavour symmetry
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• Probing Lepton Flavor Triality with Higgs Boson Decay
• Alignment limit in three Higgs-doublet models
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Three-Higgs-doublet model under A4 symmetry implies alignment
• Lepton masses and mixing in a two-Higgs-doublet model
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Conditions for global minimum in the A4 symmetric 3HDM
• Ameliorating the Higgs mass fine-tuning problem with multi-Higgs doublet models
• The Higgs decay rate to two photons in a model with two fermiophobic-Higgs doublets
• Symmetryless Dark Matter
• Type-I thermal leptogenesis in $Z_3$-symmetric three Higgs doublet model
• On fermion masses and mixing in a model with $A_4$ symmetry
• Loop induced $h\to \gamma \gamma ,Z\gamma ,gg$ decays in 3-Higgs doublet models