Measurement of the $WW$ Production Cross Section with Dilepton Final States in $p\overline{p}$ Collisions at $\sqrt{s}=1.96\mathrm{TeV}$ and Limits on Anomalous Trilinear Gauge Couplings

We provide the most precise measurement of the $WW$ production cross section in $p\overline{p}$ collisions to date at a center of mass energy of 1.96 TeV, and set limits on the associated trilinear gauge couplings. The $WW\to \ell \nu {\ell }^{\prime }\nu$ ($\ell$, ${\ell }^{\prime }=e$, $\mu$) decay channels are analyzed in $1{\mathrm{fb}}^{-1}$ of data collected by the D0 detector at the Fermilab Tevatron Collider. The measured cross section is $\sigma (p\overline{p}\to WW)=11.5\pm 2.1(\mathrm{stat}+\mathrm{syst})\pm 0.7(\mathrm{lumi})\mathrm{pb}$. One- and two-dimensional 95% C.L. limits on trilinear gauge couplings are provided.