Search for the Standard Model Higgs Boson Decaying to a b(b)over-bar Pair in Events with One Charged Lepton and Large Missing Transverse Energy Using the Full CDF Data Set

We present a search for the standard model Higgs boson produced in association with a W boson in root s = 1.96 TeV p (p) over bar collision data collected with the CDF II detector at the Tevatron corresponding to an integrated luminosity of 9.45 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 -> b (b) over bar branching ratio as a function of Higgs boson mass. At a Higgs boson mass of 125 GeV/c(2), we observe (expect) a limit of 4.9 (2.8) times the standard model value.