Decoupling or nondecoupling: Is that the Rb question?

The top quark is well known for the nondecoupling effects it implies in ρ and Rb. The recent experimental Rb data exhibit a disagreement with the SM prediction at more than the 3σ level. It is tempting to explore whether this might be due to nondecoupling new physics effects, opposite to those of the top quark. We investigate this issue in the context of models with an extra family of right- or left-handed singlet or doublet quarks. It is shown that, contrary to what one might naively expect, the nondecoupling properties of a mirror t' do not have an impact on Rb, due to a conspiracy of the mixing angles, imposed by the requirement that there be no b-b' mixing. Our analysis agrees with an analysis performed independently, which includes this model as a particular case. copyright 1996 The American Physical Society