B(B)OVER-BAR PRODUCTION ON THE Z-RESONANCE AND IMPLICATIONS FOR CERN LEP-2

In terms of an effective Lagrangian, we examine the effect of new phys ics associated with third-generation fermions on b (b) over bar produc tion at the Z resonance and study its implications for CERN LEP2. We o btain the constraints on such operators with derivative couplings at L EP1 and the SLC, and determine the prospects for detecting their prese nce at LEP2. We find that despite the small observed deviations from t he standard model on the Z resonance, much larger deviations from stan dard model predictions are possible at LEP2, and the corresponding Cou plings can be determined rather precisely. [S0556-2821(98)05001-2].