  The possibility that the spontaneous symmetry breaking in the Standard Model
(SM) may be generated by the Top-Higgs Yukawa interaction (which determines the
so called "second minimum" in the SM) is examined. A former analysis is
extended about a QCD action only including the Yukawa interaction of a single
quark with a scalar field. We repeat the calculation of the two loop effective
action of the model for the scalar field. A correction of the evaluation
allowed choosing a strong coupling $\alpha $($\mu,\Lambda_{QCD})=0.2254$ GeV at
an intermediate scale $\mu=11.63$ GeV, in order to fix the minimum of the
potential at a scalar field determining $175$ GeV for the quark mass. A scalar
field mass $m=44$ GeV is following, which is of the order than the experimental
Higgs mass. The effects of considering a running with momenta coupling are
studied. For this, the finite part of the two loop potential contribution
determined by the strong coupling, was represented as a momentum integral.
Next, substituting in this integral the experimental values of the running
coupling, the potential curve became very similar to the one for constant
coupling. This happened after simply assuming that the low momentum dependence
of the coupling is "saturated" to a constant value being close to its lowest
experimental value.
