Realistic radiative quark and lepton masses for the first two generations, as well as mixing for all three, can be obtained in the context of the standard SU(2){}U(1) electroweak gauge model. The required additional ingredients are a fourth generation and some extra Higgs-boson doublets together with a singlet, as well as a spontaneously broken Z₄ discrete symmetry.
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Ernest Ma (1989) studied this question.
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