  We combine the notion of asymptotic safety (AS) with conformal invariance in
a hidden sector beyond the Standard Model. We use the renormalization group
(RG) equations as a bridge to connect UV boundary conditions and EW/TeV scale
physics and furnish a detailed example in the context of a leptophobic $U(1)'$
model. A broad selection of UV boundary conditions are formulated corresponding
to differing AS scenarios, and we find an AS scenario with very strong
predictive power, allowing unique determination of most of the parameters in
the model. We obtain the interrelationships among the couplings, the transition
scale of the fixed point $M_{UV}$ and the generations of quarks coupled to the
$Z'$, and especially the correlation between $M_{UV}$ and the top quark Yukawa
coupling $Y_t$. Several phenomenological implications of our results are
presented for selected $Z'$ masses.
