We survey the implications for new physics of the discrepancy between
the measurement of R(b) at the CERN e(+)e(-) collider LEP and its stan
dard model prediction. Two broad classes of models are considered: (i)
those in which new Z(b) over barb$ couplings arise at the tree level,
through Z or b-quark mixing with new particles, and (ii) those in whi
ch new scalars and fermions alter the Z(b) over barb$ vertex at one lo
op. We keep our analysis as general as possible in order to systematic
ally determine what kinds of features can produce corrections to R(b)
of the right sign and magnitude. We are able to identify several succe
ssful mechanisms, which include most of those which have recently been
proposed in the literature, as well as some earlier proposals (e.g.,
supersymmetric models). By seeing how such models appear as special ca
ses of our general treatment we are able to shed light on the reason f
or, and the robustness of, their ability to explain R(b).