  We present a further study of the dynamics of high-dimension fermion
operators attributed to the theoretical inconsistency of the fundamental cutoff
(quantum gravity) and the parity-violating gauge symmetry of the standard
model. Studying the phase transition from a symmetry-breaking phase to a
strong-coupling symmetric phase and the $\beta$-function behavior in terms of
four-fermion coupling strength, we discuss the critical transition point as a
ultraviolet-stable fixed point where a quantum field theory preserving the
standard model gauge symmetry with composite particles can be realized. The
form-factors and masses of composite particles at TeV scales are estimated by
extrapolating the solution of renormalization-group equations from the
infrared-stable fixed point where the quantum field theory of standard model is
realized and its phenomenology including Higgs mass has been experimentally
determined. We discuss the probability of composite-particle formation and
decay that could be experimentally verified in the LHC by measuring the
invariant mass of relevant final states and their peculiar kinetic
distributions.
