Higgs and Top quark coupled with a conformal gauge theory

We consider a dynamical scenario improving the naturalness of the standard model, in which the Higgs field has a large anomalous dimension through conformally invariant coupling with an extra gauge sector above TeV scale. The large top Yukawa coupling is generated effectively through mixing top quarks and the fermions of the extra gauge sector. We present an explicit model consistent with the Electro-Weak precision tests.