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We present a search for the standard model Higgs boson produced inassociation with a $W^{\pm}$ boson. This search uses data corresponding to anintegrated luminosity of 7.5 fb$^{-1}$ collected by the CDF detector at theTevatron. We select $WH \to \ell\nu b \bar{b}$ candidate events with two jets,large missing transverse energy, and exactly one charged lepton. We furtherrequire that at least one jet be identified to originate from a bottom quark.Discrimination between the signal and the large background is achieved throughthe use of a Bayesian artificial neural network. The number of tagged eventsand their distributions are consistent with the standard model expectations. Weobserve no evidence for a Higgs boson signal and set 95% C.L. upper limits onthe $WH$ production cross section times the branching ratio to decay to $b\barb$ pairs, $\sigma(p\bar p \rightarrow W^{\pm} H) \times {\cal B}(H\rightarrowb\bar b)$, relative to the rate predicted by the standard model. For the Higgsboson mass range of 100 GeV/c$^2$ to 150 GeV/c$^2$ we set observed (expected)upper limits from 1.34 (1.83) to 38.8 (23.4). For 115 GeV/c$^2$ the upper limitis 3.64 (2.78). The combination of the present search with an independentanalysis that selects events with three jets yields more stringent limitsranging from 1.12 (1.79) to 34.4 (21.6) in the same mass range. For 115GeV/c$^2$ the upper limit is 2.65 (2.60).

Search for the standard model Higgs boson produced in association with a $W^{\pm}$ boson with 7.5 fb$^{-1}$ integrated luminosity at CDF