Perturbative SO(10) Grand Unification
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Abstract
We consider a phenomenologically viable SO(10) grand unification model of the unification scale M around 10₁₆ GeV which reproduces the minimal supersymmetric standard model at low energy and allows perturbative calculations up to the Planck scale Mₚ or the string scale Mₛₜ. 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 × 10 + 1̅6̅ + 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 MR≃M²G/Mₚ. Furthermore, there exists a parameter region which results the proton lifetime consistent with the experimental results.