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

Can the symmetry breaking in the SM be determined by the "second minimum" of the Higgs potential?