We present new results of the search for WH→ℓνbb¯ production in pp¯ collisions at a center-of-mass energy of s=1.96 TeV , based on a dataset with integrated luminosity of 0.44 fb−1 . We combine these new results with previously published searches by the D0 collaboration, for WH and ZH production analyzed in the E̸Tbb¯ final state, for ZH ( →ℓ+ℓ−bb¯ ) production, for WH ( →WWW ) production, and for H ( →WW ) direct production. No signal-like excess is observed either in the WH analysis or in the combination of all D0 Higgs boson analyses. We set 95% C.L. (expected) upper limits on σ(pp¯→WH)×B(H→bb¯) ranging from 1.6 (2.2) pb to 1.9 (3.3) pb for Higgs boson masses between 105 and 145 GeV, to be compared to the theoretical prediction of 0.13 pb for a Standard Model (SM) Higgs boson with mass mH=115 GeV . After combination with the other D0 Higgs boson searches, we obtain for mH=115 GeV an observed (expected) limit 8.5 (12.1) times higher than the SM predicted Higgs boson production cross section. For mH=160 GeV , the corresponding observed (expected) ratio is 10.2 (9.0).

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