Vacuum stability and supersymmetry at high scales with two Higgs doublets

Understand

We investigate the stability of the electroweak vacuum for two-Higgs doublet models with a supersymmetric UV completion.

• The supersymmetry breaking scale is taken to be of the order of the grand unification scale.
• We first study the case where all superpartners decouple at this scale.
• We show that contrary to the Standard Model with one Higgs doublet, matching to the supersymmetric UV completion is possible if the low-scale model contains two Higgs doublets.