Two Higgs doublet models with an $S_3$ symmetry

Abstract

We study all implementations of the $S_3$ symmetry in the two Higgs doublet model with quarks, consistent with non-zero quark masses and a Cabibbo-Kobayashi-Maskawa (CKM) matrix which is not block diagonal. We study the impact of the various soft-breaking terms and vacuum expectation values, and find an interesting relation between $\alpha$ and $\beta$. We also show that, in this minimal setting, only two types of assignments are possible: either all field sectors are in singlets or all field sectors have a doublet.

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Cited by in corpus (12)

• Building and testing models with extended Higgs sectors
• Scotogenic S3 symmetric generation of realistic neutrino mixing
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• The invariant space of multi-Higgs doublet models
• An $S_3$ flavored left-right symmetric model of quarks
• Dual electroweak phase transition in the two-Higgs-doublet model with the $S_3$ discrete symmetry
• Dark Matter and Collider Searches in $S_3$-Symmetric 2HDM with Vector Like Leptons
• Limiting FCNC induced by a CP symmetry of order 4
• SO(10) unification with horizontal symmetry
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Twin electroweak bubble nucleation and gravitational wave under the $S_3$ symmetry of two-Higgs-doublet model
• Signals for vector-like leptons in an $S_3$-symmetric 2HDM at ILC