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We investigate a family of four-dimensional quantum field theories withweakly interacting ultraviolet fixed points up to four loop order inperturbation theory. Key new ingredients are the three loop gauge contributionsto quartic scalar beta functions, which we compute in the$\overline{\text{MS}}$ scheme for a template $SU(N_c)$ gauge theory coupled to$N_f$ fundamental fermions and elementary scalars. We then determine fixedpoint couplings, field and mass anomalous dimensions, and universal scalingexponents up to the first three non-trivial orders in a small Venezianoparameter. The phase diagram and UV-IR connecting trajectories are found andcontrasted with asymptotic freedom. Further, the size of the conformal window,unitarity, and mechanisms leading to the loss of conformality are investigated.Our results provide blueprints for concrete 4d non-supersymmetric conformalfield theories with standard model-like field content, and invite further modelbuilding.

Asymptotic Safety Guaranteed at Four Loop