  It was recently proposed that the electroweak hierarchy problem is absent if
the generation of the Higgs potential stems exclusively from quantum effects of
heavy right-handed neutrinos which can also generate active neutrino masses via
the type-I seesaw mechanism. Hence, in this framework dubbed the "neutrino
option", the tree-level scalar potential is assumed to vanish at high energies.
Such a scenario therefore lends itself particularly well to be embedded in a
classically scale-invariant theory. In this paper we perform a survey of models
featuring conformal symmetry at the high scale. We find that the minimal
framework compatible with the "neutrino option" requires the Standard Model to
be extended by two real scalar singlet fields in addition to right-handed
neutrinos. The spontaneous breaking of scale invariance, which induces the
dynamical generation of Majorana masses for the right-handed neutrinos, is
triggered by renormalization group effects. We identify the parameter space of
the model for which a phenomenologically viable Higgs potential and neutrino
masses are generated, and for which all coupling constants remain in the
perturbative regime up to the Planck scale.
