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A renormalizable SO(10) GUT scenario with spontaneous CP violation
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We consider fermion masses and mixings in a renormalizable SUSY SO(10) GUT with Yukawa couplings of scalar fields in the representation 10 + 120 + 126 bar. We investigate a scenario defined by the following assumptions: i) A single large scale in the theory, the GUT scale. ii) Small neutrino masses generated by the type I seesaw mechanism with negligible type II contributions. iii) A suitable form of spontaneous CP breaking which induces hermitian mass matrices for all fermion mass terms of the Dirac type. Our assumptions define an 18-parameter scenario for the fermion mass matrices for 18 experimentally known observables. Performing a numerical analysis, we find excellent fits to all observables in the case of both the normal and inverted neutrino mass spectrum.
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Asymptotic grand unification in SO(10) with one extra dimension
A 5D SO(10) model with a 10, 120, and 16 Higgs can make gauge couplings asymptotically safe and Yukawa couplings asymptotically free, but only with an exact matching condition at the compactification scale.
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