  We study gauge hierarchy problem of the Standard Model (SM) not by
introducing new physics at the electroweak scale but by utilizing gravitational
frames, frames generated by conformal transformations, as a renormalization
medium. The essence of the naturalization mechanism is that a particular
conformal transformation with respect to the Higgs field completely decouples
Higgs from matter fields so that the terms causing quadratic divergences become
genuine benign. In this frame, we analyze stability, unitarity and
renormalizability of the interactions, and construct the effective $SM$ theory
at the electroweak scale by taking into account the conformal anomalies. We
scrutinize certain salient features of the framework, and discuss h -> gamma
gamma decay as an application.
  The proposed mechanism naturalizes not only the SM but also its extensions if
they involve no new mass scales and exhibit strict conformal invariance. The
new physics thus forms a conformal field theory (CFT), and can involve
additional fermion generations, extra gauge groups as well as all kinds of SM
singlets. Certain phenomena, for instance, CP-violating Higgs sector, Dark
Matter and Inflation, can be modeled with less free parameters. Scalar and
vector singlets can directly interact with the SM spectrum, and can be searched
for in certain scattering processes such as the invisible decays of the Higgs
boson.
