Novel Higgs potentials from gauge mediation of exact scale breaking

We present a gauge mediation principle for beyond standard model theories where exact UV scale invariance is broken in a hidden sector. The relevant configurations are those in which the standard model and a hidden sector emanate from a scale invariant pair of UV theories that communicate only via gauge interactions. We compute the radiatively induced Higgs potential which contains logarithmic mass-squared terms that lead to unusual Higgs self-couplings. Its other couplings are unchanged.