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Composite Higgs, Dark Matter and Inflaton

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I will introduce models of dynamical electroweak symmetry breaking and their present and future impact on LHC physics. I will start by reviewing what LHC has seen and not seen and the main challenges of models of dynamical electroweak symmetry breaking. To overcome some of these problems we need a better understanding of strong dynamics. I will therefore review the state-of-the-art of the phase diagram of strongly coupled theories as function of the number of flavors, colors and matter representation. I will then show how these models can also lead to natural dark matter candidates able to provide a simple resolution to current experimental observations. If times allows, I will introduce new successful models of inflation in which the inflaton emerges as a composite state from a natural four-dimensional strongly coupled theory coupled to gravity.