  In this work we find the minimal extension of the Standard Model's Higgs
sector which can lead to a light Higgs boson via radiative symmetry breaking
and is consistent with the phenomenological requirements for a low-energy
realization of a conformal theory. The model which turns out to be stable under
renormalization group translations is an extension of the Standard Model by two
scalar fields, one of which acquires a finite vacuum expectation value and
therefore mixes into the physical Higgs. We find that the minimal model
predicts a sizable amount of mixing which makes it testable at a collider. In
addition to the physical Higgs, the theory's scalar spectrum contains one light
and one heavy boson. The heavy scalar's properties render it a potential dark
matter candidate.
