Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
Abstract
Minimal S_{3} invariant Higgs potential with real soft S_{3} breaking masses are investigated. It is required that without having a problem with triviality, all physical Higgs bosons, except a neutral one, can become heavy to sufficiently suppress flavor changing neutral currents. There exist three nonequivalent soft mass terms that can be characterized according to their discrete symmetries, and the one which breaks S_{3} completely. We find that except for the completely broken case, the S_{2}' invariant vacuum expectation values (VEVs) of the Higgs fields are unique VEVs that satisfy the requirement. It is found that they also correspond to a local minimum in the completely broken case. The S_{2}' invariant VEVs are the most economic VEVs in the sense that the freedom of VEVs can be completely absorbed into the Yukawa couplings so that it is possible to derive without referring to the details of the VEVs the most general form for the fermion mass matrices in minimal S_{3} extension of the standard model.Keywords
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