Dark matter in a CP-violating three-Higgs-doublet model with $S_3$ symmetry

Abstract

In spite of the success of the Standard Model of Particle Physics, there are some theoretical predictions which are not yet fully established experimentally as well as some experimental observations which cannot be fitted within its theoretical framework, thus requiring physics beyond the Standard Model. One of these is a hypothetical non-luminous form of matter - dark matter. Models with an extended scalar electroweak sector yield plausible dark matter candidates. In this paper we study a specific model, C-III-a, from a family of $S_3$-symmetric three-Higgs-doublet models. The model consists of two active SU(2) doublets and an inert one. The latter is inert due to a ${\mathbb{Z}}_2$ symmetry that survives the breaking of $S_3$, and would accommodate a dark matter particle. We explore the model numerically, based on theoretical and experimental constraints. After applying a number of successive checks over the parameter space we found a viable dark matter mass region in the range $[6.5;44.5]\text{GeV}$. This region is drastically different from the Higgs-like dark matter states that have been proposed: the well-known Inert Doublet Model and models with three scalar doublets, with one or two inert doublets. Furthermore, the C-III-a model allows for spontaneous CP violation.

40 pages, 12 figures. v2: PRD version, minor clarifications. arXiv admin note: text overlap with arXiv:2108.07026

References in corpus (12)

• Gauge Singlet Scalars as Cold Dark Matter
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• The oblique parameters in multi-Higgs-doublet models
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• A precision constraint on multi-Higgs-doublet models
• Natural Dark Matter from an Unnatural Higgs Boson and New Colored Particles at the TeV Scale
• Search for charged Higgs bosons decaying into a top quark and a bottom quark at $\sqrt{s}$=13 TeV with the ATLAS detector
• Consistency of the Two Higgs Doublet Model and CP violation in top production at the LHC
• Analysis of an extended scalar sector with $S_3$ symmetry
• Natural Multi-Higgs Model with Dark Matter and CP Violation
• Dark Matter with Two Inert Doublets plus One Higgs Doublet
• CP violating scalar Dark Matter