Measurement of the $t\overline{t}$ production cross section in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$

We update the measurement of the $t\overline{t}$ production cross section using the CDF detector at the Fermilab Tevatron. This measurement uses $t\overline{t}$ decays to the final states $e+\nu +\mathrm{jets}$ and $\mu +\nu +\mathrm{jets}.$ We search for b quarks from t decays via secondary-vertex identification or the identification of semileptonic decays of the b and cascade c quarks. The background to the $t\overline{t}$ production is determined primarily through a Monte Carlo simulation. However, we calibrate the simulation and evaluate its uncertainty using several independent data samples. For a top quark mass of $175\mathrm{GeV}{/c}^2,$ we measure ${\sigma }_{t\overline{t}}=5.1\mathrm{}\pm 1.5\mathrm{pb}$ and ${\sigma }_{t\overline{t}}=9.2\mathrm{}\pm 4.3\mathrm{pb}$ using the secondary vertex and the lepton tagging algorithms, respectively. Finally, we combine these results with those from other $t\overline{t}$ decay channels and obtain ${\sigma }_{t\overline{t}}{=6.5\mathrm{}}_{-1.4}^{+1.7\mathrm{}}\mathrm{pb}.$