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We present a measurement of the total {\it WW} and {\it WZ} production crosssections in $p\bar{p}$ collision at $\sqrt{s}=1.96$ TeV, in a final stateconsistent with leptonic $W$ boson decay and jets originating from heavy-flavorquarks from either a $W$ or a $Z$ boson decay. This analysis uses the full dataset collected with the CDF II detector during Run II of the Tevatron collider,corresponding to an integrated luminosity of 9.4 fb$^{-1}$. An analysis of thedijet mass spectrum provides $3.7\sigma$ evidence of the summed productionprocesses of either {\it WW} or {\it WZ} bosons with a measured total crosssection of $\sigma_{WW+WZ} = 13.7\pm 3.9$~pb. Independent measurements of the{\it WW} and {\it WZ} production cross sections are allowed by the differentheavy-flavor decay-patterns of the $W$ and $Z$ bosons and by the analysis ofsecondary-decay vertices reconstructed within heavy-flavor jets. Theproductions of {\it WW} and of {\it WZ} dibosons are independently seen withsignificances of $2.9\sigma$ and $2.1\sigma$, respectively, with total crosssections of $\sigma_{WW}= 9.4\pm 4.2$~pb and$\sigma_{WZ}=3.7^{+2.5}_{-2.2}$~pb. The measurements are consistent withstandard-model predictions.

physical review. d/physical review. d.

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