Abstract

BELTRAN, O.F.; MONDRAGON, M  and  RODRIGUEZ JAUREGUI, E. Vacuum stability in a minimal s₃ extension of the standard model. Rev. mex. fis. [online]. 2008, vol.54, suppl.3, pp.115-121. ISSN 0035-001X.

This work deals with the gauge symmetry breaking and the vacuum stability conditions in a minimal S₃-invariant extension of the Standard Model. In the theory, there are three SU (2)_L Higgs doublets that belong to the singlet and doublet representations of the S₃-flavor group. We find that, as function of the vacuum expectation values of the twelve real Higgs fields, the Higgs potential has three types of minimum: a normal minimum, an electric Charge breaking (CB) minimum and a CP violating minimum (CPB) depending on the vacuum expectation values (vev) of the Higgs fields H₁, H₂ and H_S. Assuming that the non-vanishing vev of the Higgs doublet in the singlet representation of S₃ is real, we obtain that the deepest minimum is the normal minimum. This condition corresponds to the Pakvasa-Sugawara minimum in which we obtain an S₂ residual symmetry. This feature simplifies the structure and therefore the computation of the Higgs mass matrices. We present some results on the mass spectrum of the Higgs bosons in the theory.

Keywords : Higgs bosons non-standard model; electroweak interactions; extensions of Higgs sector; spontaneous symmetry breaking; symmetry in theory of fields and particles; symmetry breaking; gauge field theory.

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