  We consider the scenario, in which the new strong dynamics is responsible for
the formation of the $125$ GeV Higgs boson. The Higgs boson appears as composed
of all known quarks and leptons of the Standard Model. The description of the
mentioned strong dynamics is given using the $\zeta$ - regularization. It
allows to construct the effective theory without ultraviolet divergences, in
which the $1/N_c$ expansion works naturally. It is shown, that in the leading
order of the $1/N_c$ expansion the mass of the composite $h$ - boson is given
by $M_h = m_t/\sqrt{2} \approx 125$ GeV, where $m_t$ is the top - quark mass.
