The observability of an additional discrete symmetry in the Standard Model

M. A. Zubkov

doi:10.1016/j.physletb.2007.04.005; 10.1016/j.physletb.2007.09.026

paper

The observability of an additional discrete symmetry in the Standard Model

arXiv:hep-ph/0609029 · doi:10.1016/j.physletb.2007.04.005; 10.1016/j.physletb.2007.09.026

Abstract

Standard Model may be defined with the additional discrete symmetry, i.e. with the gauge group $S U (3) \times S U (2) \times U (1) / Z$ ( $Z = Z_{6}$ , $Z_{3}$ or $Z_{2}$ ) instead of the usual $S U (3) \times S U (2) \times U (1)$ . It has the same perturbation expansion as the conventional one. However, it may describe nature in a different way at the energies compared to the triviality bound (of about 1 Tev). In this paper we present a possibility to observe this difference assuming that the gauge group of the Standard Model is embedded into the gauge group of an {\it a priory} unknown model, which describes physics at a Tev scale. This difference is related to the monopole content of the theory. We illustrate our results by consideration of the Petite Unification of quarks and leptons.

arXiv commentLatex, 10 pages