  If a Higgs field is conformally coupled to gravity, then it can give rise to
the scale invariant density perturbations. We make use of this result in a
realistic inert Higgs doublet model, where we have a pair of Higgs doublets
conformally coupled to the gravity in the early universe. The perturbation of
the inert Higgs is shown to be the scale invariant. This gives rise to the
density perturbation observed through CMB by its couplings to the standard
model Higgs and the subsequent decay. Loop corrections of this conformally
coupled system gives rise to electroweak symmetry breaking. We constrain the
couplings of the scalar potential by comparing with the amplitude and spectrum
of CMB anisotropy measured by WMAP and this model leads to a prediction for the
masses of the lightest Higgs and the other scalars.
