Search for Higgs boson production in association with a W boson at CDF

We present a search for the Higgs boson decaying to b$\bar{\mathrm{b}}$, produced in association with a W boson in $p\bar{p}$ collisions at $\sqrt{s} = 1.96$ TeV. A dataset corresponding to an integrated luminosity of 1.2~fb$^{-1}$ is used in this search. Selected events have one high-$p_{T}$ electron or muon, missing $E_{T}$ and two jets. In addition, we apply advanced event selection criteria and optimized b-tagging strategies to reduce the large W+jet backgrounds and improve the search sensitivity. We set a 95\% Confidence Level upper limit with the combined one b-tag and two b-tag samples, on the production cross section times branching ratio as a function of the mass of the Higgs boson.