Measurement of the t$\bar{t}$ Production Cross-Section in Dilepton Events with Secondary Vertex b-tagging

We report on a measurement of the $t\bar{t}$\ production cross section in 340 pb$^{-1}$\ of $t\bar{t}$\ events collected with the CDF detector at the Tevatron containing two identified high p$_T$\ leptons, missing energy and at least one $b$-jet candidate. We reconstruct b-jets using secondary vertices in the silicon vertex detecor. By adding the b-quark identification we can relax some of the selection criteria used to identify top decay in the dilepton channel while keeping the non top contamination to a minimum. We finally compare selected kinematic properties of these events with the prediction of the Standard Model for the $t\rightarrow Wb$\ vertex.