Vacuum stability in the [Formula omitted]SSM

We perform an analysis of the vacuum stability of the neutral scalar potential of the [Formula omitted]-from- [Formula omitted] Supersymmetric Standard Model ( [Formula omitted]SSM). As an example scenario, we discuss the alignment without decoupling limit of the [Formula omitted]SSM, for which the required conditions on the Higgs sector are derived. We demonstrate that in this limit large parts of the parameter space feature unphysical minima that are deeper than the electroweak minimum. In order to estimate the lifetime of the electroweak vacuum, we calculate the rates for the tunneling process into each unphysical minimum. We find that in many cases the resulting lifetime is longer than the age of the universe, such that the considered parameter region is not excluded. On the other hand, we also find parameter regions in which the electroweak vacuum is short-lived. We investigate how the different regions of stability are related to the presence of light right-handed sneutrinos. Accordingly, a vacuum stability analysis that accurately takes into account the possibility of long-lived metastable vacua is crucial for a reliable assessment of the phenomenological viability of the parameter space of the [Formula omitted]SSM and its resulting phenomenology at the (HL)-LHC.