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We present a new method to measure the top quark pair production crosssection and the background rates with 2.7 fb$^{-1}$ of data from $p\bar{p}$collisions at $\sqrt{s} =1.96$ TeV collected with the CDF II Detector. The sizeof the dataset was chosen to directly show the improvements of this new method.We select events with a single electron or muon, missing transverse energy, andat least one b-tagged jet. We perform a simultaneous fit to a jet flavordiscriminant across nine samples defined by the number of jets and b-tags. Wemeasure a top cross section of $\sigma_{t\bar{t}} = 7.64 \pm 0.57 \mathrm{(stat+ syst)} \pm 0.45 \mathrm{(luminosity)}$ pb. An advantage of this approach isthat many systematic uncertainties are measured in situ and inversely scalewith integrated luminosity.

Measurement of the Top Pair Production Cross Section in the Lepton + Jets Channel Using a Jet Flavor Discriminant