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The Standard Model(SM) vacuum is unstable for the measured values of the topYukawa coupling and Higgs mass. Here we study the issue of vacuum stabilitywhen neutrino masses are generated through spontaneous low-scale lepton numberviolation. In the simplest dynamical inverse seesaw, the SM Higgs has twosiblings: a massive CP-even scalar plus a massless Nambu-Goldstone boson,called majoron. For TeV scale breaking of lepton number, Higgs bosons can havea sizeable decay into the invisible majorons. We examine the interplay andcomplementarity of vacuum stability and perturbativity restrictions, withcollider constraints on visible and invisible Higgs boson decay channels. Thissimple framework may help guiding further studies, for example, at the proposedFCC facility.

Dynamical inverse seesaw mechanism as a simple benchmark for electroweak breaking and Higgs boson studies