Majorana physics through the Cabibbo Haze

We present a model in which the Supersymmetric Standard Model is augmented by the family symmetry Z₇⋊Z₃. 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 Z₇⋊Z₃, 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