We unveil the dynamics of four dimensional chiral gauge-Yukawa theoriesfeaturing several scalar degrees of freedom transforming according to distinctrepresentations of the underlying gauge group. We consider generalizedGeorgi-Glashow and Bars-Yankielowicz theories. We determine, to the maximumknown order in perturbation theory, the phase diagram of these theories andfurther disentangle their ultraviolet asymptotic nature according to whetherthey are asymptotically free or safe. We therefore extend the number oftheories that are known to be fundamental in the Wilsonian sense to the case ofchiral gauge theories with scalars.
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