Grand Unification and Proton Stability Near the Peccei-Quinn Scale

Details Grand Unification and Proton Stability Near the Peccei-Quinn Scale Grand Unification and Proton Stability Near the Peccei-Quinn Scale

2004-07-06

arxiv.org/abs/hep-ph/0407074v1

Phys.Rev. D70 (2004) 055009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures

Scientific paper

10.1103/PhysRevD.70.055009

We show that in an $SU(2)\otimes U(1)$ model with a DSF-like invisible axion it is possible to obtain (i) the convergence of the three gauge coupling constants at an energy scale near the Peccei-Quinn scale; (ii) the correct value for $\sin^2\hat{\theta}_W(M_Z)$; (iii) the stabilization of the proton by the cyclic $Z_{13}\otimes Z_3$ symmetries which also stabilize the axion as a solution to the strong CP problem. Concerning the convergence of the three coupling constants and the prediction of the weak mixing angle at the $Z$-peak, this model is as good as the minimal supersymmetric standard model with $\mu_{\rm SUSY}=M_Z$. We also consider the standard model with six and seven Higgs doublets. The main calculations were done in the 1-loop approximation but we briefly consider the 2-loop contributions.

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