The vicinity of the phase transition in the lattice Weinberg - Salam Model

We investigated the lattice Weinberg - Salam model without fermions for the Higgs mass around $300$ GeV. On the phase diagram there exists the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase, where the fluctuations of the scalar field become strong while Nambu monopoles are dense. According to our numerical results (obtained on the lattices of sizes up to ${20}^3\times 24$) the maximal value of the ultraviolet cutoff in the model cannot exceed the value around $1.4$ TeV.