Search for the Supersymmetric Partner of the Top Quark in Dilepton Events Produced in Proton-Antiproton Collisions at Center-of-Mass Energy = 1.96 TeV

We present a search for the lightest supersymmetric partner of the top quark $\sim\atop{t}$ at the Fermi National Accelerator Laboratory in proton-antiproton collisions at a center-of-mass energy$\sqrt{s}$= 1.96 TeV. This search was conducted within the framework of the Rp conserved Minimal Supersymmetric extension of the Standard Model, assuming the decay $\sim\atop{t}$→ l+ + $\sim\atop{ν}$l + b is dominant. We searched a total Luminosity of $L$ = 1 fb-1 of data collected by the CDF experiment looking for two leptons of opposite electric charge, jets and missing transverse energy. No statistically significant evidence of the stop signal has been found in a model with degenerate sneutrino ($\sim\atop{ν}$) masses. New limits at 95% confidence level in the stop versus sneutrino mass plane have been set.