$Z^{\prime}$ boson signal at Tevatron and LHC in a 331 model

We analyse the possibilities to detect a new $Z^{\prime}$ boson in di-electron events at Tevatron and LHC in the framework of the 331 model with right-handed neutrinos. Using $p\bar{p}$ collision data collected by the CDF II detector at Fermilab Tevatron, we find that the 331 $Z^{\prime}$ boson is excluded with masses below 920 GeV. For an integrated luminosity of $100 fb^{-1}$ at LHC, and considering a central value $M_{Z^{\prime}}=1500$ GeV, we obtain the invariant mass distribution in the process $pp\to Z^{\prime}\to e^{+}e^{-}$, where a huge peak, corresponding to 800 signal events, is found above the SM background. The number of di-electron events vary from 10000 to 1 in the mass range of $M_{Z^{\prime}}=1000-5000$ GeV.