Model-independent estimates for the Abelian Z' boson at modern hadron colliders

The model-independent constraints on the Abelian Z' couplings from the LEP data are applied to estimate the Z' production in experiments at the Tevatron and LHC. The Z' total and partial decay widths are analyzed. The results are compared with model-dependent predictions and present experimental data from the Tevatron. If we assume the 1-2sigma hints from the LEP data to be a signal of the Abelian Z' boson, then the Tevatron data constrain the Z' mass between 400 GeV and 1.2 TeV.