Spontaneous symmetry breaking in the S
                            3-symmetric scalar sector

Emmanuel-Costa, David; Ogreid, O. M.; Osland, P.; Rebelo, M. N.

doi:10.1007/jhep02(2016)154

Cited by 32 publications

(80 citation statements)

References 96 publications

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“…refs. [5][6][7][8][9][10][11]). While retaining most of the features of 2HDMs, 3HDMs can offer explanations to yet unexplained features of the SM with predictions testable in the current collider measurements.…”

Section: Jhep03(2018)024mentioning

confidence: 99%

Heavy charged scalars from $$ c\overline{s} $$ fusion: a generic search strategy applied to a 3HDM with U(1) × U(1) family symmetry

Camargo-Molina

Mandal

Pasechnik

et al. 2018

J. High Energ. Phys.

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We describe a class of three Higgs doublet models (3HDMs) with a softly broken U(1) × U(1) family symmetry that enforces a Cabibbo-like quark mixing while forbidding tree-level flavour changing neutral currents. The hierarchy in the observed quark masses is partly explained by a softer hierarchy in the vacuum expectation values of the three Higgs doublets. As a consequence, the physical scalar spectrum contains a Standard Model (SM) like Higgs boson h 125 while exotic scalars couple the strongest to the second quark family, leading to rather unconventional discovery channels that could be probed at the Large Hadron Collider. In particular, we describe a search strategy for the lightest charged Higgs boson H ± , through the process cs → H + → W + h 125 , using a multivariate analysis that leads to an excellent discriminatory power against the SM background. Although the analysis is applied to the proposed class of 3HDMs, we employ a model-independent formulation such that it can be applied to any other model with the same discovery channel.

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Section: Jhep03(2018)024mentioning

confidence: 99%

Heavy charged scalars from $$ c\overline{s} $$ fusion: a generic search strategy applied to a 3HDM with U(1) × U(1) family symmetry

Camargo-Molina

Mandal

Pasechnik

et al. 2018

J. High Energ. Phys.

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“…In this paper, we revisit the different vacuum solutions for the S 3 -symmetric potential with three Higgs doublets which were studied previously in Ref. [16]. The S 3 -symmetric scalar sector with three Higgs doublets was studied in the past by several authors, starting in 1977 by Pakvasa and Sugawara [17] who worked with irreducible representations consisting of a doublet and singlet of S 3 and also analyzed couplings to fermions.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [16], special attention was paid to the possibility of having spontaneous CP violation. However, it was also pointed out that several potentially interesting vacua led to the existence of massless scalars [16,20].…”

Section: Introductionmentioning

confidence: 99%

“…[16], special attention was paid to the possibility of having spontaneous CP violation. However, it was also pointed out that several potentially interesting vacua led to the existence of massless scalars [16,20]. These massless states are due to the spontaneous breaking of accidental continuous symmetries resulting from constraints imposed on the region of parameters arising from the minimisation conditions, with a few rare exceptions that will be pointed out in the paper.…”

Section: Introductionmentioning

confidence: 99%

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S3 -inspired three-Higgs-doublet models: A class with a complex vacuum

et al. 2020

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In this paper we analyse in detail an S 3 -symmetric three-Higgs-doublet model with a specific vacuum configuration. This analysis allows us to illustrate well-known interesting features of models with several Higgs doublets, such as the possibility of having spontaneous CP violation. We start with a real potential and we pick a particularly interesting complex vacuum configuration, which by itself does not violate CP. We study the rôle played by different soft symmetry breaking terms. These are essential for our choice of vacuum in order to remove unwanted massless scalars which arise from the spontaneous breaking of an accidental continuous symmetry. We list scalar sector and scalar-gauge sector-couplings for the particular case we consider in detail in this work. The results presented in this paper will be important for model building.

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“…A complete list of possible global minima for the A 4 , S 4 , ∆ (27) and ∆(54) Higgs potentials with 3 Higgs fields has been obtained by [40], which includes furthermore cases without irreducible triplets such as S 3 (the S 3 is itself studied in great detail in [41]). For the cases where the respective potential is CP conserving in general (e.g.…”

Section: Jhep11(2017)136mentioning

confidence: 99%

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

Varzielas

King

Luhn

et al. 2017

J. High Energ. Phys.

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Motivated 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 fall into irreducible triplet representations of discrete symmetries belonging to the ∆(3n 2 ) and ∆(6n 2 ) series, including A 4 , S 4 , ∆(27) and ∆(54). For each case, we give the potential and find various global minima for different regions of the parameter space of the potential. Using CP-odd basis Invariants that indicate the presence of Spontaneous CP Violation we separate the VEVs into those that do or do not violate CP. In cases where CP is preserved we reveal a CP symmetry of the potential that is preserved by those VEVs, otherwise we display a non-zero CP-odd Invariant. Finally we identify interesting cases where there is Spontaneous Geometrical CP Violation in which the VEVs have geometrical phases.

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Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Cited by 32 publications

References 96 publications

Heavy charged scalars from $$ c\overline{s} $$ fusion: a generic search strategy applied to a 3HDM with U(1) × U(1) family symmetry

Heavy charged scalars from $$ c\overline{s} $$ fusion: a generic search strategy applied to a 3HDM with U(1) × U(1) family symmetry

S3 -inspired three-Higgs-doublet models: A class with a complex vacuum

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

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