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

By M. A. Zubkov

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 $\theta_W \sim 30^o$, the fine structure constant $\alpha \sim 1/150$, the Higgs mass $M_H \sim 150$ GeV. We find that the fluctuational region begins at the values of the cutoff $\Lambda$ above about 0.8 TeV. In this region the average distance between Nambu monopoles is close to their sizes. At $\Lambda > 1$ 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 $2 M_Z/g_z$. 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 $16^3\times 32$.Comment: Latex2e, fits improved, figures changed, references adde

Topics: High Energy Physics - Lattice, High Energy Physics - Phenomenology
Publisher: 'American Physical Society (APS)'
Year: 2012
DOI identifier: 10.1103/PhysRevD.85.073001
OAI identifier: oai:arXiv.org:1108.3300

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