We summarize, in this proceedings,
our analysis for the vacuum stability of the superweak extension of the standard model.
The parameter space allowed by the $W$-boson mass measurements and collider searches for a new scalar particle are also presented.
The final result is a well defined non-vanishing portion of the parameter space, where the vacuum is stable, the couplings are perturbative and is not excluded by $W$ mass measurements and collider searches.