  The Standard Model(SM) vacuum is unstable for the measured values of the top
Yukawa coupling and Higgs mass. Here we study the issue of vacuum stability
when neutrino masses are generated through spontaneous low-scale lepton number
violation. In the simplest dynamical inverse seesaw, the SM Higgs has two
siblings: a massive CP-even scalar plus a massless Nambu-Goldstone boson,
called majoron. For TeV scale breaking of lepton number, Higgs bosons can have
a sizeable decay into the invisible majorons. We examine the interplay and
complementarity of vacuum stability and perturbativity restrictions, with
collider constraints on visible and invisible Higgs boson decay channels. This
simple framework may help guiding further studies, for example, at the proposed
FCC facility.
