We consider the double-scale tensor model for the Higgs pathway in heavy QCD with a massive scalar field. We find a new class of non-perturbative cases in which the Higgs pathway is non-perturbative, and also show that the partial Higgs pathways are non-perturbative. We then discuss the properties of these non-perturbative models, and show that the same model can be used to derive the non-perturbative solution of the double-scale equation.