Measurement of the WW and WZ production cross section using final states with a charged lepton and heavy-flavor jets in the full CDF Run II data set

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We present a measurement of the total $WW$ and $WZ$ production cross sections in $p\overline{p}$ collision at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$, in a final state consistent with leptonic $W$ boson decay and jets originating from heavy-flavor quarks from either a $W$ or a $Z$ boson decay. This analysis uses the full data set collected with the CDF II detector during Run II of the Tevatron collider, corresponding to an integrated luminosity of $9.4\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. An analysis of the dijet mass spectrum provides $3.7\ensuremath{\sigma}$ evidence of the summed production processes of either $WW$ or $WZ$ bosons with a measured total cross section of ${\ensuremath{\sigma}}_{WW+WZ}=13.7\ifmmode\pm\else\textpm\fi{}3.9\text{ }\text{ }\mathrm{pb}$. Independent measurements of the $WW$ and $WZ$ production cross sections are allowed by the different heavy-flavor decay patterns of the $W$ and $Z$ bosons and by the analysis of secondary-decay vertices reconstructed within heavy-flavor jets. The productions of $WW$ and of $WZ$ dibosons are independently seen with significances of $2.9\ensuremath{\sigma}$ and $2.1\ensuremath{\sigma}$, respectively, with total cross sections of ${\ensuremath{\sigma}}_{WW}=9.4\ifmmode\pm\else\textpm\fi{}4.2\text{ }\text{ }\mathrm{pb}$ and ${\ensuremath{\sigma}}_{WZ}=3.{7}_{\ensuremath{-}2.2}^{+2.5}\text{ }\text{ }\mathrm{pb}$. The measurements are consistent with standard-model predictions.

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