  We provide a non-linear realisation of composite Higgs models in the context
of the SU(4)/Sp(4) symmetry breaking pattern, where the effective Lagrangian of
the spin-0 and spin-1 resonances is constructed via the CCWZ prescription using
the Hidden Symmetry formalism. We investigate the EWPT constraints by
accounting the effects from reduced Higgs couplings and integrating out heavy
spin-1 resonances. This theory emerges from an underlying theory of gauge
interactions with fermions, thus first principle lattice results predict the
massive spectrum in composite Higgs models. This model can be used as a
template for the phenomenology of composite Higgs models at the LHC and at
future 100 TeV colliders, as well as for other application. In this work, we
focus on the formalism for spin-1 resonances and their bounds from di-lepton
and di-boson searches at the LHC.
