Z' Search in e+e- Annihilation

Expectations for constraints on extra Z bosons are derived for LEP 2 and future linear e+e- colliders. For typical GUTs, a Z' with M_{Z'} \le 3 to 6 \sqrt{s} may cause observable effects. The Z' discovery limits are dominated by statistical errors. However, if a Z' signal is observed, the discrimination between different models becomes much worse if systematic errors are taken into account. Discrimination between models is possible for M_{Z'} < 3 \sqrt{s}. A determination of Z' f \bar f couplings independently of models becomes attractive with future colliders. Anticipated bounds are determined.