Prospects of the observability of the WH and ZH, H -> b(b)over-bar channelin 14 TeV pp and 2 TeV p(p)over-bar collisions (E-T(miss) + b(b)over-bar final state)

A detailed study of the associated Standard Model Higgs boson production in 14 TeV pp (LHC) and 2 TeV p (p) over bar (Tevatron) collisions, WH/ZH with H --> b (b) over bar decay and E-T(miss) + bb signature, is presented for a benchmark value of the Higgs boson mass, m(H) = 100 GeV. The observation of these events with ATLAS at LHC is considered not to be feasible because of the overwhelming background from QCD jet events. Contrary, this signatur e is claimed to be promising for a Higgs boson discovery in the mass range of 90-140 GeV at the Tevatron p (p) over bar collider. The aim of this pape r is to provide several details which lead to a quantitative comparison in a consistent framework of the physics potential for this signature in both colliding scenarios. The emphasis is put on the differences in the expected signal and backgrounds rates and the background composition. Together with a similar study presented on the WH/ZH production with lb (b) over bar and llb (b) over bar final states, it covers most sensitive signatures discuss ed in the Tevatron report for the Higgs searches in the mass range 90-140 G eV.