Flavor-changing and CP-violating interactions of Z to fermions are generally present in models with extra U(1) gauge symmetry that are string-inspired or related to broken gauged family symmetry. We study the consequences of such couplings in fermion electric dipole moments, muon g-2, and K and B meson mixings. From experimental limits or measured values, we constrain the off-diagonal Z couplings to fermions. Some of these constraints are comparable or stronger than the existing constraints obtained from other observables.
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