Minima of multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$

Abstract

We analyse the minima of scalar potentials for multi-Higgs models where the scalars are arranged as either one triplet or two triplets of the discrete symmetries $A_4$, $S_4$, $\Delta (27)$, $\Delta (54)$, as well as $\Delta (3n^2)$ and $\Delta (6n^2)$ with $n>3$. The results should be useful for both multi-Higgs models involving electroweak doublets and multi-flavon models involving electroweak singlets, where in both cases the fields transform as triplets under some non-Abelian discrete symmetry.

15 pages

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• Building and testing models with extended Higgs sectors
• The Flavor Group Delta(3n^2)
• The Flavor Group Delta(6n^2)
• Symmetry breaking patterns in 3HDM
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• Discrete symmetries in the three-Higgs-doublet model
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Cited by in corpus (15)

• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• The first $\Delta (27)$ flavor 3-3-1 model with low scale seesaw mechanism
• Recognizing symmetries in 3HDM in basis-independent way
• Doubly Charged Scalar at the High-Luminosity and High-Energy LHC
• Dead or Alive? Implications of the Muon Anomalous Magnetic Moment for 3-3-1 Models
• Three-Higgs-doublet model under A4 symmetry implies alignment
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Exploring multi-Higgs models with softly broken large discrete symmetry groups
• Effective alignments as building blocks of flavour models
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Effective alignments and the landscape of $S_4$ flavour models
• Conditions for global minimum in the A4 symmetric 3HDM
• Softly-broken $A_4$ or $S_4$ 3HDMs with stable states
• 3HDM with $\Delta (27)$ symmetry and its phenomenological consequences