  The ultraviolet completion is the Standard Model (SM) gauge-symmetric
four-fermion couplings at the high-energy cutoff. Composite particles appear in
the gauge symmetric phase in contrast with SM particles in the spontaneous
symmetry-breaking phase. The critical point between the two phases is a weak
first-order transition. It relates to an ultraviolet fixed point for an SM
gauge symmetric theory of composite particles in the strong coupling regime.
The low-energy SM realizes at an infrared fixed point in the weak coupling
regime. Composite bosons dissolve into SM particles at the phase transition,
and in the top-quark channel, they become a composite SM Higgs boson and three
Goldstone bosons. Extrapolation of SM renormalization-group solutions to high
energies implies that the gauge-symmetric theory of composite particles has a
characteristic scale of about $5.1$ TeV. We discuss the phenomenological
implications of composite SM Higgs boson in the gauge symmetry-breaking phase
and massive composite bosons coupling to massless $W^\pm$ and $Z^0$ gauge
bosons in the gauge symmetric phase.
