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The LHC and other experiments show so far no sign of new physics andlong-held beliefs about naturalness should be critically reexamined. We discusstherefore in this paper a model with a combined breaking of conformal andelectroweak symmetry by a strongly coupled hidden sector. Even though theconformal symmetry is anomalous, this may still provide an explanation of thesmallness of electroweak scale compared to the Planck scale. Specifically westart from a classically conformal model, in which a strongly coupled hiddensector undergoes spontaneous chiral symmetry breaking. A coupling via a realscalar field transmits the breaking scale to the Standard Model Higgs andtriggers electroweak symmetry breaking. The model contains dark mattercandidates in the form of dark pions, whose stability is being guaranteed bythe flavor symmetry of hidden quark sector. We study its relic abundance anddirect detection prospects with the Nambu-Jona-Lasinio method and discuss thephase transition in the dark sector as well as in the electroweak sector.

Electroweak and Conformal Symmetry Breaking by a Strongly Coupled Hidden Sector