to certain physical observables becomes larger than the tree level estimate. Thus the perturbation theory in these models fails down within the fluctuational region.

We find that there exists the vicinity of the phase transition between the Higgs phase and the symmetric phase in the Weinberg - Salam model, where the fluctuations of the scalar field become strong and the perturbation expansion around trivial vacuum cannot be applied. According to the numerical results the continuum theory is to be approached within the vicinity of the phase transition, i.e. the cutoff is increased along the line of constant physics when one approaches the point of the transition. That’s why the conventional prediction on the value of the cutoff admitted in the Standard Model based on the perturbation theory may be incorrect.

In the present paper we proceed the investigation [@Z2009] of the model at the value of the scalar self coupling $\lambda = 0.009$ (corresponds to the Higgs boson mass around $270$ Gev in the vicinity of the phase transition), bare Weinberg angle $\theta_W = 30^o$, and bare fine structure constant around $1/150$. The results presented now correspond to essentially larger lattices than that of used in [@Z2009]. Namely, in [@Z2009] 