We study electroweak symmetry breaking in minimal composite Higgs models
$SU(4)/Sp(4)$ with purely fermionic UV completions based on a confining
Hypercolor gauge group and find that the extra Higgs potential from the
underlying preon mass can destruct the correlation between the mass of Higgs
and composite partners. Thus the composite partners can be very heavy for
successful electroweak symmetry breaking without enhancing the separation
between the new physical scale and Higgs VEV. So this kind of model can be
easily realized by ordinary strong dynamics theories without artificial
assumptions and more likely consistent with lattice simulations. The UV
completion of partial compositeness predicts a light singlet Goldstone boson
which interacts with QCD and electroweak gauge bosons through
Wess-Zumino-Witten terms. It can be produced through gluon fusion at LHC and
decay into gauge boson pairs. We briefly discuss its phenomenology and derive
its bounds from LHC searches.
