CP breaking in $S(3)$ flavoured Higgs model

Barradas-Guevara, E.; Félix-Beltrán, O.; Rodríguez-Jáuregui, E.

doi:10.48550/arxiv.1507.05180

Cited by 5 publications

(5 citation statements)

References 48 publications

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“…As mentioned above, CP can be spontaneously violated in models with three Higgs doublets with Z 2 symmetries [10]. Such is also the case for an S 3 symmetry [34,35,36].…”

Section: Introductionmentioning

confidence: 80%

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models

Emmanuel-Costa

Ogreid

Osland

et al. 2017

J. Phys.: Conf. Ser.

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The talk summarises work done by the authors consisting of a detailed study of the possible vacua in models with three Higgs doublets with S3 symmetry and without explicit CP violation. Different vacua require special regions of the parameter space which were analysed in our work. We establish the possibility of spontaneous CP violation in this framework and we also show which complex vacua conserve CP. In our work we discussed constraints from vacuum stability. The results presented here are relevant for model building.5 Affiliation valid till the end of 2016 with two Higgs doublets and NFC, with the Z 2 symmetry softly broken in the Higgs potential [8]. Three Higgs doublets and NFC with exact Z 2 symmetries allow for CP to be violated either explicitly [9] or spontaneously [10]. FCNC can also be eliminated at tree level assuming alignment of Yukawa couplings in flavour space [11], in this case complex Yukawa couplings give rise to new sources of CP violation. There have been several attempts at obtaining Yukawa alignment in several extensions of the SM [12,13,14,15]. Another very interesting possibility to avoid the problem of having too large FCNC with two Higgs doublets, is to build models allowing for Higgs mediated FCNC which are under control by means of a symmetry that leads to couplings suppressed by small off-diagonal elements of the quark mixing matrix V CKM . The first models of this type, based on a symmetry, were proposed by Branco, Grimus and Lavoura (BGL) [16]. Implications of BGL-type models have been extensively analysed recently, in the light of the LHC results, for several different implementations [17,18,19,20,21,22]. BGL-type models can have FCNC either in the up sector or in the down sector but not in both sectors at the same time. Recently, a generalisation of BGL-type models allowing for FCNC in both sectors was built [23]. BGL models models can also be extended to the case of three doublets [17].Three-Higgs-doublet models may provide good dark matter candidates [24,25,26,27,28,29]. One may also speculate that nature is such that three generations of fermions come with three Higgs doublets, which is, of course, an issue to be settled by experiment. As the number of doublets increases so does the complexity of the scalar potential and the number of free parameters in the theory [30]. Discrete symmetries play an important role in reducing this number and lead at the same time to testable predictions. Symmetries also play an important role in stabilising dark matter [31,32,33].As mentioned above, CP can be spontaneously violated in models with three Higgs doublets with Z 2 symmetries [10]. Such is also the case for an S 3 symmetry [34,35,36].This talk is based on the work done in Ref. [35] where the possible vacuum solutions were analysed and the possibility of having spontaneous CP violation in the context of three Higgs doublets, with an S 3 symmetry, was studied. In this work we concentrated our attention on the scalar potential. Several authors have considered implications of three-Higgs...

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“…As mentioned above, CP can be spontaneously violated in models with three Higgs doublets with Z 2 symmetries [10]. Such is also the case for an S 3 symmetry [34,35,36].…”

Section: Introductionmentioning

confidence: 80%

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models

Emmanuel-Costa

Ogreid

Osland

et al. 2017

J. Phys.: Conf. Ser.

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“…The results presented in this paper should be useful for model building, providing guidelines for various interesting scenarios. The S 3 -symmetric potential with three Higgs doublets has been analysed by several authors in the past few years with many different aims, such as looking for realistic Yukawa couplings [33][34][35][36], looking for dark matter candidates [37,38], looking for CP violation [39], as well as many other studies. under contract UMO-2015/18/M/ST2/00518 (2016-2019).…”

Section: Discussionmentioning

confidence: 99%

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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“…The study of these models was pioneered in [38][39][40] which has led to subsequent interesting research, see e.g. [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Prospects of Indirect Detection for the Heavy S3 Dark Doublet

Espinoza¹,

Mondragón²

2020

Preprint

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We present an analysis of the Dark S3 model in the heavy DM mass region, this model features an S3 symmetric extension of the scalar sector of the SM including a scalar SU (2) doublet dark matter candidate. We use publicly available tools to compute, in addition to conventional physical constraints on the parameter space of the model, the Sommerfeld enhancement factors for the present day annihilation cross section and the likelihood profile for a simulation of an observation run by the Cherenkov Telescope Array of the Coma Berenices dwarf galaxy. Our results disfavour masses above ∼5 TeV mainly because of overproduction of dark matter not consistent with the relic abundance observations; we also find a moderately large region with masses in between 1.2 and 4.9 TeV which predict the correct value of the DM relic and in addition have a light scalar with the characteristics of the SM Higgs boson (i.e. within the decoupling limit akin to the THDM). Comparison of our results with model independent exclusion curves from HESS and other CTA simulations show that these limits fall short only an order of magnitude in the value of the annihilation cross section in order to exclude the best fit point of the model.

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CP breaking in $S(3)$ flavoured Higgs model

Cited by 5 publications

References 48 publications

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models

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

Prospects of Indirect Detection for the Heavy S3 Dark Doublet

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CP breaking in $S(3)$ flavoured Higgs model

Cited by 5 publications

References 48 publications

Spontaneous symmetry breaking in three-Higgs-doubletS3-symmetric models

Spontaneous symmetry breaking in three-Higgs-doubletS3-symmetric models

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

Prospects of Indirect Detection for the Heavy S3 Dark Doublet

Contact Info

Product

Resources

About

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models

Spontaneous symmetry breaking in three-Higgs-doubletS₃-symmetric models