We present a search for the standard model Higgs boson produced in association with a $W$ boson in $\sqrt{s}=1.96\mathrm{TeV}$ $p\overline{p}$ collision data collected with the CDF II detector at the Tevatron corresponding to an integrated luminosity of $9.45{\mathrm{fb}}^{-1}$. In events consistent with the decay of the Higgs boson to a bottom-quark pair and the $W$ boson to an electron or muon and a neutrino, we set 95% credibility level upper limits on the $WH$ production cross section times the $H\to b\overline{b}$ branching ratio as a function of Higgs boson mass. At a Higgs boson mass of $125\mathrm{GeV}/c^2$, we observe (expect) a limit of 4.9 (2.8) times the standard model value.

• Received 8 July 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.111804