Basis invariant conditions for supersymmetry in the two-Higgs-doublet model

TL;DR

This paper develops basis-invariant criteria to identify supersymmetry in the two-Higgs-doublet model by connecting Higgs sector symmetries with gaugino-higgsino interactions, addressing limitations of previous symmetry classifications.

Contribution

It introduces basis-invariant probes that detect supersymmetry by incorporating both Higgs potential symmetries and gaugino-higgsino interactions, refining the understanding of supersymmetric limits.

Findings

Basis-invariant conditions for supersymmetry are constructed.

Supersymmetry detection involves Higgs and gaugino-higgsino sectors.

The approach clarifies the supersymmetric limit beyond Higgs potential symmetries.

Abstract

The minimal supersymmetric standard model involves a rather restrictive Higgs potential with two Higgs fields. Recently, the full set of classes of symmetries allowed in the most general two Higgs doublet model was identified; these classes do not include the supersymmetric limit as a particular class. Thus, a physically meaningful definition of the supersymmetric limit must involve the interaction of the Higgs sector with other sectors of the theory. Here we show how one can construct basis invariant probes of supersymmetry involving both the Higgs sector and the gaugino-higgsino Higgs interactions.