Abstract
We present a predictive scheme for fermion masses and mixings based on supersymmetric SO(10) which provides an understanding of the observed hierarchies in the charged fermion sector including CKM mixings. In the neutrino sector bi-large mixing can be realized, while the third leptonic mixing angle θ13≃0.01–0.2.
Highlights
We present a predictive scheme for fermion masses and mixings based on supersymmetric SO(10) which provides an understanding of the observed hierarchies in the charged fermion sector including CKM mixings
The problems associated with SO(10) model building arise both from the scalar as well as the fermion sector
Its realization requires a complicated higgs sector supplemented by additional symmetries needed to avoid unwanted operators [8], [12], [15], it is a nice feature of SO(10) that DT splitting can be realized without fine tuning
Summary
−αΣ αS −αΣ which ensures that the prediction for gauge coupling unification can be trusted and all possible. This allows one to introduce, if needed, additional superheavy vector-like states. To fix the allowed field content from the requirement of perturbativity up to MPl, let us point out that it is possible to introduce several 45 and 54 states with masses ∼> MG. Several scalar 45-plets together with 54-plet can play an important role in the solution of DT splitting problem [8], [12], [15] Larger representations such 126 and 210 (which can play crucial roles in symmetry breaking and fermion mass matrices [17]) are not favored from this viewpoint because the SO(10) gauge coupling blows up not far above the scale MG, not allowing a sufficiently high cut off scale. In addition to λ ≃(0.2), we exploit the dimensionless parameter
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