# Minima of multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)

@article{Varzielas2017MinimaOM, title={Minima of multi-Higgs potentials with triplets of $\Delta$(3n2) and $\Delta$(6n2)}, author={Ivo de Medeiros Varzielas and Stephen F. King and Christoph Luhn and Thomas Neder}, journal={Physics Letters B}, year={2017}, volume={775}, pages={303-310} }

## 16 Citations

### Spontaneous CP violation in multi-Higgs potentials with triplets of Δ(3n2) and Δ(6n2)

- Physics
- 2017

A bstractMotivated by discrete flavour symmetry models, we analyse Spontaneous CP Violation (SCPV) for potentials involving three or six Higgs fields (both electroweak doublets and singlets) which…

### Δ(27) flavor singlet-triplet Higgs model for fermion masses and mixings

- PhysicsNuclear Physics B
- 2019

### Three-Higgs-doublet model under A4 symmetry implies alignment

- Physics
- 2017

A bstractA model with three scalar doublets can be conveniently accommodated within an A4 symmetric framework. The A4 symmetry permits only a restricted form for the scalar potential. We show that…

### Recognizing symmetries in a 3HDM in a basis-independent way

- MathematicsPhysical Review D
- 2019

Higgs doublets may come in three generations. The scalar sector of the resulting three-Higgs-doublet model (3HDM) may be constrained by global symmetry groups $G$ leading to characteristic…

### Effective alignments and the landscape of S4 flavor models

- PhysicsPhysical Review D
- 2019

We explore the concept of effective alignments: contractions of multiple flavour symmetry breaking flavon fields. These contractions give rise to directions that are hard or impossible to obtain…

### Exploring multi-Higgs models with softly broken large discrete symmetry groups

- PhysicsThe European Physical Journal C
- 2021

We develop methods to study the scalar sector of multi-Higgs models with large discrete symmetry groups that are softly broken. While in the exact symmetry limit, the model has very few parameters…

### Conditions for global minimum in the $$A_4$$ A 4 symmetric 3HDM

- PhysicsThe European Physical Journal C
- 2022

There has been a great interest in three Higgs doublet models (3HDM) symmetric under an exact $$A_4$$ A 4 symmetry. We provide the complete analytic necessary and sufficient conditions for a point to…

### Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism

- PhysicsJournal of High Energy Physics
- 2018

We formulate a predictive model of fermion masses and mixings based on a Δ(27) family symmetry. In the quark sector the model leads to the viable mixing inspired texture where the Cabibbo angle comes…

### Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism

- Physics
- 2017

A bstractWe formulate a predictive model of fermion masses and mixings based on a Δ(27) family symmetry. In the quark sector the model leads to the viable mixing inspired texture where the Cabibbo…

### Controlled fermion mixing and FCNCs in a ∆(27) 3+1 Higgs Doublet Model

- PhysicsJournal of High Energy Physics
- 2021

We propose a 3+1 Higgs Doublet Model based on the ∆(27) family symmetry supplemented by several auxiliary cyclic symmetries leading to viable Yukawa textures for the Standard Model fermions,…

## References

SHOWING 1-10 OF 22 REFERENCES

### Symmetry breaking patterns in 3HDM

- Physics
- 2014

A bstractAn attractive feature of New Physics models with multiple Higgs fields is that they are equipped with discrete symmetry groups in the Higgs and flavour sectors. These symmetry groups are…

### Constraining flavour symmetries at the EW scale I: the A4 Higgs potential

- Physics
- 2011

We consider an extension of the Standard Model in which the symmetry is enlarged by a global flavour factor A4 and the scalar sector accounts for three copies of the Standard Model Higgs,…

### Generalised CP and Δ(6n2) family symmetry in semi-direct models of leptons

- Physics
- 2014

A bstractWe perform a detailed analysis of Δ(6n2) family symmetry combined with a generalised CP symmetry in the lepton sector, breaking to different remnant symmetries Gν in the neutrino and Gl in…

### Discrete symmetries in the three-Higgs-doublet model

- Physics
- 2012

Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, RussiaN-Higgs-doublet models (NHDM) are among the most popular examples of electroweak symmetrybreaking mechanisms beyond the…

### CP-odd invariants for multi-Higgs models and applications with discrete symmetry

- Computer Science, Mathematics
- 2016

Making use of the CP-odd invariants, the CP properties of potentials with 3 and with 6 Higgs fields arranged as triplets of specific discrete symmetries in the Δ(3n2) or Δ(6 n2) series are determined.

### Geometric minimization of highly symmetric potentials

- Physics
- 2013

A bstractIn non-minimal Higgs mechanisms, one often needs to minimize highly symmetric Higgs potentials. Here we propose a geometric way of doing it, which, surprisingly, is often much more efficient…

### Flavor group Δ(3n2)

- Mathematics
- 2007

The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the…

### Constraining flavour symmetries at the EW scale II: the fermion processes

- Physics
- 2011

We study the set of models in which the Standard Model symmetry is extended with the flavour group A4 and there are three copies of the Standard Model Higgs that transform as a triplet under this…