p(p)over-bar -> t(t)over-bar-H: A discovery mode for the Higgs boson at the Fermilab Tevatron

The production of a standard model Higgs boson in association with a top qu ark pair at the upcoming high luminosity run (15 fb(-1) integrated luminosi ty) of the Fermilab Tevatron (roots = 2.0 TeV) is revisited. For Higgs mass es below 140 GeV we demonstrate that the production cross section times bra nching ratio for H --> b (b) over bar decays yields a significant number of events and that this mode is competitive with and complementary to the sea rches using p (p) over bar --> WH,ZH associated production. For higher mass Higgs bosons the H --> W+W- decays are more difficult but have the potenti al to provide a few spectacular events.