main results correspond to lattices $8^3\times 16$; some results were checked on the lattice $12^3\times 16$; two points were checked on the lattice $16^4$. Now our main results are obtained on the lattice $16^4$ while the results at the transition point were checked on the lattice $20^3\times 24$.

In addition we investigate the model at the value of the scalar self coupling $\lambda = 0.0025$, bare Weinberg angle $\theta_W = 30^o$, and bare fine structure constant around $\alpha_0 \sim 1/150$. These values of couplings correspond to the Higgs boson mass around $150$ Gev in the vicinity of the phase transition. The results are obtained using lattices $8^3\times 16$, $12^3\times 16$, and $16^4$. We also present results for $\lambda = 0.001$, $\theta_W = 30^o$, $\alpha_0 \sim 1/150$. These values of couplings correspond to the Higgs boson mass around $100$ Gev. The results are obtained using lattices $8^3\times 16$, $12^3\times 16$.

It is worth mentioning that far from the transition point the renormalized fine structure constant slowly approaches the tree level estimate. Contrary to the maximal value of the cutoff the renormalized fine structure constant depends on the lattice size. And for the larger lattice the value of $\alpha_R$ is closer to 