We consider a model in which the third family fermions are subjected to an SU(2) interaction different from the first two family fermions. Constrained by the Z-pole data, the heavy gauge boson mass is bounded from below to be about 1.7 TeV at the 2σ level. In this model, the flavor mixing between τ and μ can be so large that [Formula: see text] and Br (τ→μμμ) provide a better constraint than the LEP/SLC data in some region of parameter space. Furthermore, flavor-changing neutral currents are unavoidable in the quark sector of the model. Significant effects to the [Formula: see text] mixing and the rare decays of the K and B mesons, such as [Formula: see text], [Formula: see text], Bs→τ+τ-, μ+μ- and Bs,d→μ±τ∓, are expected.