Abstract
We study the S3 symmetric extension of the Standard Model in which all the irreducible representations of the permutation group are occupied by SU(2) scalar doublets, one of which is taken as inert and can lead to dark matter candidates. We perform a scan over parameter space probing points against physical constraints ranging from unitarity tests to experimental Higgs searches limits. We find that the latter constraints severely restrict the parameter space of the model. For acceptable points we compute the value of the relic density of the dark scalar candidates and find that it has a region for low dark matter masses which complies with the Higgs searches bounds and lies within the experimental Planck limit. For masses ≳80 GeV the value of the relic density is below the Planck bound, and it reaches values close to it for very heavy masses ∼5 TeV. In this heavy mass region, this opens the interesting possibility of extending the dark sector of the model with additional particles.
Highlights
One of the main challenges in particle physics at present is to find the nature of dark matter (DM)
Among the numerous proposals to extend the scalar sector of the standard model, the 3-Higgs Doublet Model (3HDM) with an S3-family symmetry (S3-3H) presents interesting phenomenology, such as the prediction of a non zero reactor neutrino mixing angle θ13 and of a CKM matrix in accordance with the experimental results [12]
We have performed an analysis of the S3 symmetric model where the number of scalar doublets fill in all the irreducible representations of the permutation group; by taking one of the scalars as inert we are retaining convenient features of the 3-Higgs Doublet Model with S3 symmetry whilst extending the model with a dark sector
Summary
One of the main challenges in particle physics at present is to find the nature of dark matter (DM). The 3HDM with S3 symmetry has been extensively studied in different contexts (see for instance, [12,13,14,15,16,17,18,19], and references therein) The aim of this project is to extend this model to a 4HDM in order to have dark matter candidates, without spoiling the good features of the S3-3H model in the quark and lepton sectors. To to do this we occupied all irreducible representations of the S3 symmetry: one symmetric singlet, one antisymmetric singlet and one doublet. While higher order corrections can be of sizeable importance for non-supersymmetric models (see e.g. [20, 21]), an analysis including full loop corrections is outside the scope of this work, and we leave it for future research
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