Simple Non-Abelian Finite Flavor Groups and Fermion Masses
نویسندگان
چکیده
The use of nonabelian discrete groups G as family symmetries is discussed in detail. Out of all such groups up to order g = 31, the most appealing candidates are two subgroups of SU(2): the dicyclic [double dihedral] group G = Q6 = D3 ( g = 12 ) and the double tetrahedral group (d)T = Q4×̃Z3 ( g = 24 ). Both can allow a hierarchy t > b, τ > c > s, μ > u, d, e. The top quark is uniquely allowed to have a G symmetric mass. Sequential breaking of G and radiative corrections give the smaller masses. Anomaly freedom for gauging G ⊂ SU(2) is a strong constraint in assignment of fermions to representations of G.
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