Perturbative SO(10) Grand Unification

Abstract

We consider a phenomenologically viable SO(10) grand unification model of the unification scale $M_G$ around $10^{16}$ GeV which reproduces the MSSM at low energy and allows perturbative calculations up to the Planck scale $M_P$ or the string scale $M_{st}$. Both requirements strongly restrict a choice of Higgs representations in a model. We propose a simple SO(10) model with a set of Higgs representations $\{2\times 10+\overline{16}+16+45\}$ and show its phenomenological viability. This model can indeed reproduce the low-energy experimental data relating the charged fermion masses and mixings. Neutrino oscillation data can be consistently incorporated in the model, leading to the right-handed neutrino mass scale $M_R\simeq M_G^2/M_P$. Furthermore, there exists a parameter region which results the proton life time consistent with the experimental results.

arXiv comment14 pages, no figure, section5 was slightly modified

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• Radiative seesaw and degenerate neutrinos
• Non-Minimal Quartic Inflation in Supersymmetric SO(10)
• A simple SO(10) GUT in five dimensions
• Solving problems of 4D minimal SO(10) model in a warped extra dimension
• Flavour structure of supersymmetric SO(10) GUTs with extended matter sector
• Smooth Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves in $SU(5)\times U(1{)}_{\chi }$ Super-GUT
• Particle Spectroscopy of Supersymmetric SO(10) with Non-Universal Gaugino Masses
• Discrimination of Supersymmetric Grand Unified Models in Gaugino Mediation
• Alternative Renormalizable Minimal SO(10) GUTs and Data Fitting
• Alternative renormalizable minimal SO(10) GUT and the Seesaw Scale
• Renormalizable minimal SO(10) GUT in 4D and 5D
• Perturbative SO(10) GUT and the Minimal Higgs Sector
• Leptogenesis in a perturbative SO(10) model
• Low scale trinification symmetry through effects of dimension-5 operators in $E_6$ grand unified theory with and without supersymmetry
• Radiative Breaking Scenario for the GUT gauge symmetry
• Constraining scalars of $16_H$ through proton decays in non-renormalisable $SO(10)$ models