Search for Supersymmetric Top Quark Production with R-parity Violating Decays at CDF

We perform a search for the supersymmetric partner of the top quark (stop) using an integrated luminosity about 200 pb$^{-1}$ of data collected with the CDF Run 2 detector in proton-antiproton collisions at $\sqrt{s} = 1.96$ TeV. Within a framework of R-parity violation where the stop decays into a $\tau$ lepton and a bottom quark, pair-produced stop quarks result in the final state of one electron or muon (from a leptonic $\tau$ decay), one hadronic tau decay, and two jets. With no excess of events observed over the Standard Model prediction, we set an upper limit on the production cross- section and a lower limit on the stop mass. These limits are also directly applicable to third generation scalar leptoquarks decaying to $\tau$ lepton and a bottom quark.