We have searched for heavy neutral gauge bosons $\left(Z^{\prime }\right)$ in dielectron and dimuon decay modes using $110{\mathrm{pb}}^{-1\mathrm{}}$ of $\overline{p}p$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$ collected with the Collider Detector at Fermilab. We present a limit on the production cross section times branching ratio of a $Z^{\prime }$ boson decaying into dileptons as a function of $Z^{\prime }$ mass. For mass $M_{Z^{\prime }}>600\mathrm{}\mathrm{GeV}{/c}^2$, the upper limit is 40 fb at 95% confidence level. We set the lower mass limits of 690, 590, 620, 595, 565, 630, and $600\mathrm{GeV}{/c}^2$ for $Z_{\mathrm{SM}}^{\prime }$, $Z_{\psi }$, $Z_{\eta }$, $Z_{\chi }$, $Z_I$, $Z_{\mathrm{LR}}$, and $Z_{\mathrm{ALRM}}$, respectively.

• Received 6 May 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.2192