Stability of the Tree-Level Vacuum in a Minimal S_3 Extension of the Standard Model

摘要

In this work we analyzed the stability of the minimal S3 invariant extension of the Higgs potential. In the S3 invariant minimal standard model it is assumed that the Higgs fields belong to the three-dimensional reducible representation of the permutation group S3. We show that in the three S3 Higgs doublet model at tree-level the potential minimum preserving electric charge and CP symmetries, when it exists, is the global one.