Minimal Z ' models and the early LHC

We consider a class of minimal extensions of the Standard Model with an extra massive neutral gauge boson Z'. They include both family-universal models, where the extra U(1) is associated with (B-L), and non-universal models where the Z' is coupled to a non-trivial linear combination of B and the lepton flavours. We discuss the interplay between electroweak precision tests and direct searches at the Tevatron, to assess the discovery potential of the early LHC.