Search for ${\tilde{\mathit{W}}}_1{\tilde{\mathit{Z}}}_2$ Production via Trilepton Final States in $\mathit{p}\overline{p}$ Collisions at $\sqrt{\mathit{s}}=1.8\mathrm{}$ TeV

We have searched for associated production of the lightest chargino ${\tilde{W}}_1$ and next-to-lightest neutralino ${\tilde{Z}}_2$ of the minimal supersymmetric standard model in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}$ TeV using the D0 detector at the Fermilab Tevatron collider. Data corresponding to an integrated luminosity of $12.5\pm 0.7{\mathrm{pb}}^{-1\mathrm{}}$ were examined for events containing three isolated leptons. No evidence for ${\tilde{W}}_1{\tilde{Z}}_2$ pair production was found. Limits on $\sigma \left({\tilde{W}}_1{\tilde{Z}}_2\right)B({\tilde{W}}_1\to l\nu {\tilde{Z}}_1)B({\tilde{Z}}_2\to l\overline{l}{\tilde{Z}}_1)$ are presented.