Models with two or more scalar doublets discrete global symmetries can have vacua vanishing vacuum expectation values in the bases where are imposed. If a suitable symmetry stabilises such vacua, these models may lead to interesting dark matter candidates, provided that prevents couplings among candidates and fermions. We analyse three-Higgs-doublet an underlying $S_3$ symmetry. These many distinct one which be stabilised by remnant of survived spontaneous breaking. discuss all possible...

In this paper we analyze in detail an ${S}_{3}$-symmetric three-Higgs-doublet model with a specific vacuum configuration. This analysis allows us to illustrate important features of models several Higgs doublets, such as the possibility having spontaneous $CP$ violation. We start real potential and pick particularly interesting complex configuration, which does not violate before adding soft breaking terms potential. study role played by different symmetry terms. These are essential for our...

A bstract CP violation plays a very important role in nature with implications both for Particle Physics and Cosmology. Accounting the observed matter-antimatter asymmetry of Universe requires existence new sources beyond Standard Model. In models an extended scalar sector can emerge either explicitly, i.e., at Lagrangian level, or spontaneously. Spontaneous occurs framework electroweak symmetry breaking whenever conserves vacuum breaks it. This that not all expectation values be real....

Models with an extended scalar electroweak sector are well motivated. Such models could accommodate a dark matter candidate if there is additional representation vanishing vacuum expectation value and, in addition, no couplings between fermions and the candidate. The most natural way to have these conditions implemented consider where underlying symmetry imposed. Governed by this, we three-Higgs-doublet model $S_3$ symmetry. Within this framework different implementations which possibly...

We explore three-Higgs-doublet models that may accommodate scalar Dark Matter where the stability is based on an unbroken $U(1)$-based symmetry, rather than familiar $\mathbb{Z}_2$ symmetry. Our aim to classify all possible ways of embedding a $U(1)$ symmetry in model. The different possibilities are presented and compared. All these contain mass-degenerate pairs candidates due (conserved) by vacuum. Most preserve CP. In CP-conserving case can be seen as one being even other odd under CP or...

In spite of the success Standard Model Particle Physics, there are some theoretical predictions which not yet fully established experimentally as well experimental observations cannot be fitted within its framework, thus requiring physics beyond Model. One these is a hypothetical non-luminous form matter - dark matter. Models with an extended scalar electroweak sector yield plausible candidates. this paper we study specific model, C-III-a, from family $S_3$-symmetric three-Higgs-doublet...

Models with an extended scalar electroweak sector can have vanishing vacuum expectation values in a basis where underlying symmetry is imposed. Such extensions are very well motivated. If prevents couplings between fermions and additional scalars, such scalars could become viable dark matter candidates if some criteria satisfied. We catalogue $S_3$-symmetric three-Higgs-doublet models, also allowing for softly broken potential terms, based on whether specific model possibly accommodate...

The question of the dark matter nature is one important issues at frontier particle physics, astrophysics and cosmology. There are numerous models trying to explain origin, assuming different underlying physical processes proposing candidates. One most simplistic candidates can arise due extension scalar electroweak sector. Such extensions well motivated could not only origin but also other shortcomings Standard Model. natural way accommodate a candidate in extended models, assure stability...