Abstract
A search has been conducted for the existence of an additional neutral heavy gauge boson, $Z^{\prime}$, decaying to$\mu^+ \mu^-$ and produced in the $\bar{p}p$ collisions at the Center-of-mass energy $\sqrt{s}$ = 1.8 TeV. The $Z^{\prime}$ is a neutral heavy gauge boson predicted to exist in several Grand Unified theories and is expected to be produced in high energy $\bar{p}p$ collisions. The data used for this search amounts to a total of 107 $pb^{-1}$ of integrated luminosity collected by the CDF Collaboration at Fermilab during the 1992/1995 collider runs. From the absence of events with high invariant mass, limits are set on the production of new gauge bosons at the 95% Confidence level. The models that have been studied include a $Z^{\prime}$ with standard model like couplings, several superstring inspired E6 models, and the Alternative Left-Right Model. By combining both$\mu^+ \mu^-$ and ee decay modes a lower limit of 690 GeV is placed on the existence of a $Z^{\prime}$ with standard model like couplings.
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