  We briefly review the effective field theory of massive composite particles,
their gauge couplings and characteristic energy scale in the UV-domain of
UV-stable fixed point of strong four-fermion coupling, then mainly focus the
discussions on the decay channels of composite particles into the final states
of the SM gauge bosons, leptons and quarks. We calculate the rates of composite
bosons decaying into two gauge bosons $\gamma\gamma$, $\gamma Z^0$, $W^+W^-$,
$Z^0Z^0$ and give the ratios of decay rates of different channels depending on
gauge couplings only. It is shown that a composite fermion decays into an
elementary fermion and a composite boson, the latter being an intermediate
state decays into two gauge bosons, leading to a peculiar kinematics of final
states of a quark (or a lepton) and two gauge bosons. These provide
experimental implications of such an effective theory of composite particles
beyond the SM. We also present some speculative discussions on the channels of
composite fermions decaying into $WW$, $WZ$ and $ZZ$ two boson-tagged jets with
quark jets, or to four-quark jets. Moreover, at the same energy scale of
composite particles produced in high-energy experiments, composite particles
are also produced by high-energy sterile neutrino (dark matter) collisions,
their decays lead to excesses of cosmic ray particles in space and signals of
SM particles in underground laboratories.
