  It is well known that the Standard Model of the Electroweak interactions
rests on a metastable vacuum. This can only be fixed by means of new physics.
Presently neutrino physics provides the most intriguing framework to formulate
new physics. This is so because, in addition to the problem of the lightness of
the active standard neutrinos, currently MiniBooNE experimental result may be
indicating that sterile neutrinos exist and are light, too. In this case, it is
reasonable to expect that the framework that yields light active and sterile
neutrinos could stabilize the vacuum, too. In order to achieve this goal, we
consider an extension of the standard model which involves new fermions in the
form of right-handed neutrinos ($\nu_R$) and new scalars in the form of triplet
($\Delta$) and singlet ($\sigma$). Within this framework, tiny masses are
obtained when we consider that lepton number is spontaneously broken at low
energy scale which means that $\Delta$ and $\sigma$, both, develop very small
vacuum expectation values. We investigate if this setting leads to a stable
vacuum. For this we obtain the whole set of conditions over the Quartic Terms
of the Potential that ensures that the model is Bounded From Below(BFB) and
evaluate the RGE-evolution of the self coupling of the Higgs. We show that in
such a scenario the Quartic Coupling $\Phi^T \Delta \Phi \sigma$, where $\Phi$
is the standard Higgs doublet, is responsible for the stability of the
Electroweak Vacuum up to Planck scale. We also extract constraints over the
parameters of the Potential by means of Lepton Flavor Violating(LFV) processes
and from invisible decay of the standard-like Higgs.
