Bounds from Stability and Symmetry Breaking on Parameters in the Two-Higgs-Doublet Potential

Abstract

The most general SU(2)× U(1)Y-symmetric quartic potential with two Higgs doublets, subject to an only softly broken discrete symmetry (φ1,φ2)(-φ1,φ2), is considered. At tree-level, analytic bounds on the parameters are derived that ensure a stable vacuum, breaking SU(2)× U(1)Y down to U(1)em.

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