Measurement of the Ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>σ</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>σ</mml:mi><mml:mrow><mml:mi>Z</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi>γ</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:math>and Precise Extraction of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mover accent="true"><mml:mi>t</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>Cross Section

We report a measurement of the ratio of the $t\overline{t}$ to $Z/{\ensuremath{\gamma}}^{*}$ production cross sections in $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ $p\overline{p}$ collisions using data corresponding to an integrated luminosity of up to $4.6\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, collected by the CDF II detector. The $t\overline{t}$ cross section ratio is measured using two complementary methods, a $b$-jet tagging measurement and a topological approach. By multiplying the ratios by the well-known theoretical $Z/{\ensuremath{\gamma}}^{*}\ensuremath{\rightarrow}ll$ cross section predicted by the standard model, the extracted $t\overline{t}$ cross sections are effectively insensitive to the uncertainty on luminosity. A best linear unbiased estimate is used to combine both measurements with the result ${\ensuremath{\sigma}}_{t\overline{t}}=7.70\ifmmode\pm\else\textpm\fi{}0.52\text{ }\text{ }\mathrm{pb}$, for a top-quark mass of $172.5\text{ }\text{ }\mathrm{GeV}/{c}^{2}$.

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