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We present a measurement of the $W$-boson-pair production cross section in $pbar{p}$ collisions at 1.96 TeV center-of-mass energy and the first measurement of the differential cross section as a function of jet multiplicity and leading-jet energy. Th e $W^{+}W^{-}$ cross section is measured in the final state comprising two charged leptons and neutrinos, where either charged lepton can be an electron or a muon. Using data collected by the CDF experiment corresponding to $9.7~rm{fb}^{-1}$ of integrated luminosity, a total of $3027$ collision events consistent with $W^{+}W^{-}$ production are observed with an estimated background contribution of $1790pm190$ events. The measured total cross section is $sigma(pbar{p} rightarrow W^{+}W^{-}) = 14.0 pm 0.6~(rm{stat})^{+1.2}_{-1.0}~(rm{syst})pm0.8~(rm{lumi})$ pb, consistent with the standard model prediction.
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