ar X iv : h ep - p h / 06 03 03 9 v 2 19 J ul 2 00 6 Probing a Very Narrow Z ′ Boson with CDF and D 0 Data

The CDF and D0 data of nearly 475 pb in the dilepton channel is used to probe a recent class of models, Stueckelberg extensions of the Standard Model (StSM), which predict a Z′ boson whose mass is of topological origin with a very narrow decay width. A Drell-Yan analysis for dilepton production via this Z′ shows that the current data put constraints on the parameter space of the StSM. With a total integrated luminosity of 8 fb, the very narrow Z′ can be discovered up to a mass of about 600 GeV. The StSM Z′ will be very distinct since it can occur in the region where a Randall-Sundrum graviton is excluded.