Erratum to: Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Self Cite

For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful and rigorous. It requires the identification of a matrix U corresponding to a symmetry of the Lagrangian and verifying a simple relation involving the vacuum expectation values. The nonexistence of such a matrix signals spontaneous CP violation. This approach may be far from trivial as complexity grows with the number of Higgs doublets. In such cases it may turn out to be easier to analyse the potential by going to the so-called Higgs basis. The transformation to the Higgs basis is straightforward once the vacuum expectation values are known. The method proposed in this work is also powerful and rigorous and can be particularly useful to analyse models with more than two Higgs doublets and with continuous symmetries.

Section: Spontaneous Cp Violationmentioning

confidence: 91%

Section: Spontaneous Cp Violationmentioning

confidence: 91%

“…Different vacuum solutions correspond to different regions of parameter space which are identified in Ref. [12].…”

Section: Spontaneous Cp Violationmentioning

confidence: 99%

Section: Spontaneous Cp Violationmentioning

confidence: 99%

Section: Spontaneous Cp Violationmentioning

confidence: 99%

See 3 more Smart Citations

A simple method to detect spontaneous CP violation in multi-Higgs models

Ogreid

Osland

Rebelo

2017

Self Cite

Dark matter in three-Higgs-doublet models with S3 symmetry

Khater

Kunčinas

Ogreid

et al. 2022

Self Cite

Models with two or more scalar doublets with discrete or global symmetries can have vacua with vanishing vacuum expectation values in the bases where symmetries are imposed. If a suitable symmetry stabilises such vacua, these models may lead to interesting dark matter candidates, provided that the symmetry prevents couplings among the dark matter candidates and the fermions. We analyse three-Higgs-doublet models with an underlying S3 symmetry. These models have many distinct vacua with one or two vanishing vacuum expectation values which can be stabilised by a remnant of the S3 symmetry which survived spontaneous symmetry breaking. We discuss all possible vacua in the context of S3-symmetric three-Higgs-doublet models, allowing also for softly broken S3, and explore one of the vacuum configurations in detail. In the case we explore, only one of the three Higgs doublets is inert. The other two are active, and therefore the active sector, in many aspects, behaves like a two-Higgs-doublet model. The way the fermions couple to the scalar sector is constrained by the S3 symmetry and is such that the flavour structure of the model is solely governed by the VCKM matrix which, in our framework, is not constrained by the S3 symmetry. This is a key requirement for models with minimal flavour violation. In our model there is no CP violation in the scalar sector. We study this model in detail giving the masses and couplings and identifying the range of parameters that are compatible with theoretical and experimental constraints, both from accelerator physics and from astrophysics.

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

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.