A Predictive Superunification $SO(10)\times Δ_{48}(SU(3))\times U(1)$ Model for Fermion Masses and Mixings

Physics – High Energy Physics – High Energy Physics - Phenomenology

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9 pages, REVTeX, no figures, two tables i), The superpotentials in eqs. (2) and (3) are simplified and the corresponding notat

Scientific paper

Based on a few basic assumptions, a predictive supersymmetric grand unification $G_{U}=SO(10)\times \Delta_{48}(SU(3))\times U(1)$ model is proposed. Thus, all the observed 45 chiral fermions with additional 3 right-handed neutrinos are unified into an irreducible triplet 16-dimensional spinor representation of $G_{U}$. Electroweak symmetry breaking naturally requires two Higgs doublets which belong to a single 10 representation of $SO(10)$. The model provides an unified description for all the Yukawa and gauge couplings. With a given structure of the physical vacuum, the fermion masses and mixings are predicted in terms of two basic parameters.

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