Abstract
We present a model in which the Supersymmetric Standard Model is aug-mented by the family symmetry \( {{\mathcal{Z}}_7} \rtimes {{\mathcal{Z}}_3} \). Motivated by SO(10), where the charge two-thirds and neutral Dirac Yukawa matrices are related, we propose, using family symmetry, a special form for the seesaw Majorana matrix; it contains a squared correlated hierarchy, allowing it to mitigate the severe hierarchy of the quark sector. It is reproduced naturally by the invariant operators of \( {{\mathcal{Z}}_7} \rtimes {{\mathcal{Z}}_3} \), with the hierarchy carried by familon fields. In addition to relating the hierarchy of the ΔI w = 1/2 to the ΔI w = 0 sector, it contains a Gatto-Sartori-Tonin like relation, predicts a normal hierarchy for Tri-bimaximal and Golden Ratio mixings, and gives specific values for the light neutrino masses.
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Kile, J., Pérez, M.J., Ramond, P. et al. Majorana physics through the Cabibbo Haze. J. High Energ. Phys. 2014, 36 (2014). https://doi.org/10.1007/JHEP02(2014)036
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DOI: https://doi.org/10.1007/JHEP02(2014)036