  We determine the phase diagram of complete asymptotically free SU($N_c$)
gauge theories featuring $N_s$ complex scalars and $N_f$ Dirac quarks
transforming according to the fundamental representation of the gauge group.
The analysis is performed at the maximum known order in perturbation theory. We
unveil a very rich dynamics and associated phase structure. Intriguingly we
discover that the complete asymptotically free conditions guarantee that the
infrared dynamics displays long distance conformality, and in a regime when
perturbation theory is applicable. We conclude our analysis by determining the
quantum corrected potential of the theory and summarising the possible patterns
of radiative symmetry breaking. These theories are of potential
phenomenological interest as either elementary or composite ultraviolet finite
extensions of the Standard Model.
