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It is shown that realistic models can be constructed in which the Standard Model Higgs field is in a non-trivial multiplet of a non-abelian family group of the quarks and leptons. It is shown that the observed quark and lepton masses and mixing angles can be fit, while the coefficients of flavor-changing four-fermion operators mediated by the extra Higgs doublets are determined in terms of only a few unknown parameters.

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