Search for a ${\mathit{W}}^{\prime }$ Boson via the Decay Mode ${\mathit{W}}^{\prime }\to \mathit{\mu }{\nu }_{\mu }$ in 1.8 TeV $\mathit{p}\overline{\mathit{p}}$ Collisions

We report the results of a search for a $W^{\prime }$ boson produced in $p\overline{p}$ collisions at a center-of-mass energy of 1.8 TeV using a $107{\mathrm{pb}}^{-1\mathrm{}}$ data sample recorded by the Collider Detector at Fermilab. We consider the decay channel $W^{\prime }\to \mu {\nu }_{\mu }$ and search for anomalous production of high transverse mass $\mu {\nu }_{\mu }$ lepton pairs. We observe no excess of events above background and set limits on the rate of $W^{\prime }$ boson production and decay relative to standard model $W$ boson production and decay using a fit of the transverse mass distribution observed. If we assume standard model strength couplings of the $W^{\prime }$ boson to quark and lepton pairs, we exclude a $W^{\prime }$ boson with invariant mass less than $660\mathrm{GeV}/c^2$ at $95\%$ confidence level.