Sommaire:

We present some four-dimensional purely fermionic gauge theories that
give a UV completion of composite
Higgs models. We start at the group theoretical level, addressing the
necessary (but not sufficient) conditions
for the viability of these models, such as the existence of top partners
and custodial symmetry. We then study
the dynamics of one of the most promising models, based on a SU(4)
hyper-color group in more detail.
Work based on JHEP 1403 (2014) 077 [arXiv:1312.5330] and JHEP 1406
(2014) 142 [arXiv:1404.7137].

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