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Description
After a brief introduction on the physical motivation for Composite Higgs models, I will introduce an alternative parametrization for the non linear Lagrangian for the Goldstone modes, equivalent to the usual construction and in which "linearized" coordinates are used. I will use this parametrization to discuss cosets leading to Composite Two Higgs Doublet Models. I will analyze in detail the problem of tree level custodial symmetry breaking and how this problem can be solved, as well as the specific embedding for fermion fields that allow to avoid Higgs mediated Flavor Changing Neutral Currents.
