evaluated at the transition points. For different lattice sizes (from $12^3\times 28$ to $18^3 \times 36$) no change in correlation length was observed [@10].

In table 1 of [@BVZ2007] the data on the ultraviolet cutoff achieved in selected lattice studies of the $SU(2)$ Gauge Higgs model are presented. Everywhere $\beta$ is around $\beta \sim 8$ and the renormalized fine structure constant is around $\alpha \sim
1/110$. This table shows that the maximal value of the cutoff ${\Lambda} = \frac{\pi}{a}$ ever achieved in these studies is around $1.4$ Tev.

Thus the predictions on the value of $\Lambda_c$ given by our lattice study and on the value $\Lambda_c^{0}$ given by the perturbation theory contradict with each other. A possible explanation of this contradiction we suggested in [@Z2009]. Namely, it was demonstrated that in the vicinity of the transition there exists the fluctuational region. Within this region the application of the perturbation theory is limited. This situation is similar to that of some phenomenological models that describe condensed matter systems[^2], where there exists the vicinity of the finite temperature phase transition that is also called fluctuational region. In this region the fluctuations of the order parameter become strong. The contribution of these fluctuations 