English

Zero temperature lattice Weinberg - Salam model for the values of the cutoff $\Lambda \sim 1$ TeV

High Energy Physics - Lattice 2012-05-25 v5 High Energy Physics - Phenomenology

Abstract

The lattice Weinberg - Salam model at zero temperature is investigated numerically. We consider the model for the following values of the coupling constants: the Weinberg angle θW30o\theta_W \sim 30^o, the fine structure constant α1/150\alpha \sim 1/150, the Higgs mass MH150M_H \sim 150 GeV. We find that the fluctuational region begins at the values of the cutoff Λ\Lambda above about 0.8 TeV. In this region the average distance between Nambu monopoles is close to their sizes. At Λ>1\Lambda > 1 TeV the Nambu monopole currents percolate. Within the fluctuational region the considered definitions of the scalar field condensate give values that differ from the expected one 2MZ/gz2 M_Z/g_z. We consider the given results as an indication that the nonperturbative effects may be present in the Weinberg - Salam model at the large values of the cutoff. Our numerical results were obtained on the lattices of sizes up to 163×3216^3\times 32.

Cite

@article{arxiv.1108.3300,
  title  = {Zero temperature lattice Weinberg - Salam model for the values of the cutoff $\Lambda \sim 1$ TeV},
  author = {M. A. Zubkov},
  journal= {arXiv preprint arXiv:1108.3300},
  year   = {2012}
}

Comments

Latex2e, fits improved, figures changed, references added