Grand Unification and Proton Stability Near the Peccei-Quinn Scale

Abstract

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 ${\mu }_{\mathrm{SUSY}}=M_Z$. 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.

12 pages, 4 figures

References in corpus (10)

• Naturally light invisible axion in models with large local discrete symmetries
• Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model
• Fermion mixings vs d=6 proton decay
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Stabilizing the invisible axion in 3-3-1 models
• Stabilizing the Axion by Discrete Gauge Symmetries
• Gauged Baryon Parity and Nucleon Stability
• Triplicated Trinification
• Naturally light invisible axion and local Z_{13} times Z_3 symmetries
• Quark-Lepton Quartification

Cited by in corpus (7)

• The Quest for an Intermediate-Scale Accidental Axion and Further ALPs
• Gauging U(1) symmetries and the number of right-handed neutrinos
• The Peccei-Quinn Symmetry from a Gauged Discrete R Symmetry
• Natural Flavour Conservation in a three Higg-doublet Model
• The Invisible Axion and Neutrino Masses
• An SU(5)$\otimes$Z_{13} Grand Unification Model
• Six Higgs Doublets Model for Dark Matter