we find that gauge boson masses do not vanish in a certain vicinity of $\gamma_c$ even within the symmetric phase. In the next section we shall see that within the statistical errors $\gamma_c$ coincides with the value of $\gamma$, where the scalar field condensate disappears. Actually, there also exist two other crucial points: $\gamma_{c0}(\lambda) <
\gamma_c(\lambda) < \gamma_{c2}(\lambda)$ (say, at $\lambda = 0.001$ we have $\gamma_{c0} = 0.252\pm 0.001$, $\gamma_{c} = 0.256\pm 0.001$, $\gamma_{c2} =
0.258\pm 0.001$, see the next sections for the details). $\gamma_{c2}$ denotes the boundary of the fluctuational region. At $\gamma_{c0}$ the extrapolation of the dependence of lattice $Z$ - boson mass $M_Z(\gamma)$ on $\gamma$ indicates that $M_Z(\gamma_{c0})$ may vanish. In the symmetric phase the perturbation theory predicts vanishing of the gauge boson masses. Therefore, supposition that $M_Z$ vanishes at a certain point is very natural. The perturbation theory also predicts that the mass parameter present in the effective action for the scalar field vanishes at the point of the transition between Higgs phase and the symmetric phase. Our analysis shows that at the point, where the scalar field condensate disappears lattice $M_H$ does not vanish. However, it may vanish, in principle, at some other point. If 