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We present a gauge mediation principle for BSM theories where exact UV scaleinvariance is broken in a hidden sector. The relevant configurations are thosein which the Standard Model and a hidden sector emanate from a scale invariantpair of UV theories that communicate only via gauge interactions. We computethe radiatively induced Higgs potential which contains logarithmic mass-squaredterms that lead to unusual Higgs self-couplings. Its other couplings areunchanged.

Novel Higgs Potentials from Gauge Mediation of Exact Scale Breaking