ar X iv : h ep - p h / 94 04 24 4 v 1 9 A pr 1 99 4 UCD − 94 − 10 April , 1994

We compute an array of Standard Model Higgs boson (H) signals and backgrounds for a possible upgrade of the Tevatron to √ s = 4 TeV. Taking m t ≥ 140 GeV, and assuming a total accumulated luminosity of L = 30 fb −1 , we find that a Standard Model Higgs boson with m H < ∼ 110 GeV could almost certainly be detected using the W ± H → lνbb mode. A Higgs boson with mass between ∼ 120 GeV and ∼ 140 GeV or above ∼ 230−250 GeV almost certainly would not be seen. A Higgs boson with m H ∼ 150 GeV or 200 < ∼ m H < ∼ 230 − 250 GeV has a decent chance of being detected in the ZZ → 4l mode. There would also be some possibility of discovering the H in the W W → lνjj mode for 150 < ∼ m H < ∼ 200 GeV. Finally, hints of an event excess in the W W → llνν mode due to the H might emerge for 140 < ∼ m H < ∼ 180 GeV. Given the difficult nature of the Higgs boson signals for m H values beyond the reach of LEP-200, and the discontinuous m H range that could potentially be probed, justification of an upgrade of the Tevatron to 4 TeV on the basis of its potential for Standard Model Higgs boson discovery would seem inappropriate.