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Electron/muon specific two Higgs doublet model. (English) Zbl 1325.81183
Summary: We discuss two Higgs doublet models with a softly-broken discrete \(\mathbb{S}_3\) symmetry, where the mass matrix for charged-leptons is predicted as the diagonal form in the weak eigenbasis of lepton fields. Similarly to an introduction of \(\mathbb{Z}_2\) symmetry, the tree level flavor changing neutral current can be forbidden by imposing the \(\mathbb{S}_3\) symmetry to the model. Under the \(\mathbb{S}_3\) symmetry, there are four types of Yukawa interactions depending on the \(\mathbb{S}_3\) charge assignment to right-handed fermions. We find that extra Higgs bosons can be muon and electron specific in one of four types of the Yukawa interaction. This property does not appear in any other two Higgs doublet models with a softly-broken \(\mathbb{Z}_2\) symmetry. We discuss the phenomenology of the muon and electron specific Higgs bosons at the Large Hadron Collider; namely we evaluate allowed parameter regions from the current Higgs boson search data and discovery potential of such a Higgs boson at the 14 TeV run.

MSC:
81V22 Unified quantum theories
81V35 Nuclear physics
81R40 Symmetry breaking in quantum theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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