An SU(5)$\otimes$Z_{13} Grand Unification Model

Details An SU(5)$\otimes$Z_{13} Grand Unification Model An SU(5)$\otimes$Z_{13} Grand Unification Model

2007-08-07

arxiv.org/abs/0708.1009v3

Phys.Rev.D76:115010,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, more typos corrected

Scientific paper

10.1103/PhysRevD.76.115010

We propose an SU(5) grand unified model with an invisible axion and the unification of the three coupling constants which is in agreement with the values, at $M_Z$, of $\alpha$, $\alpha_s$, and $\sin^2\theta_W$. A discrete, anomalous, $Z_{13}$ symmetry implies that the Peccei-Quinn symmetry is an automatic symmetry of the classical Lagrangian protecting, at the same time, the invisible axion against possible semi-classical gravity effects. Although the unification scale is of the order of the Peccei-Quinn scale the proton is stabilized by the fact that in this model the standard model fields form the SU(5) multiplets completed by new exotic fields and, also, because it is protected by the $Z_{13}$ symmetry.

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