  A neutrinophilic Higgs model has tiny vacuum expectation value (VEV), which
can naturally explain tiny masses of neutrinos. There is a large energy scale
hierarchy between a VEV of the neutrinophilic Higgs doublet and that of usual
standard model-like Higgs doublet. In this paper we at first analyze vacuum
structures of Higgs potential in both supersymmetry (SUSY) and non-SUSY
neutrinophilic Higgs models, and next investigate a stability of this VEV
hierarchy against radiative corrections. We will show that the VEV hierarchy is
stable against radiative corrections in both Dirac neutrino and Majorana
neutrino scenarios in both SUSY and non-SUSY neutrinophilic Higgs doublet
models.
