In this article we analyze the impact of B physics and Higgs physics at LEP on standard and nonstandard Higgs bosons searches at the Tevatron and the LHC, within the framework of minimal flavor violating supersymmetric models. The B-physics constraints we consider come from the experimental measurements of the rare B decays $b\to s\gamma$ and $B_u\to \tau \nu$ and the experimental limit on the $B_s\to {\mu }^{+}{\mu }^{-}$ branching ratio. We show that these constraints are severe for large values of the trilinear soft breaking parameter $A_t$, rendering the nonstandard Higgs searches at hadron colliders less promising. On the contrary these bounds are relaxed for small values of $A_t$ and large values of the Higgsino mass parameter $\mu$, enhancing the prospects for the direct detection of nonstandard Higgs bosons at both colliders. We also consider the available ATLAS and CMS projected sensitivities in the standard model Higgs search channels, and we discuss the LHC’s ability in probing the whole MSSM parameter space. In addition we also consider the expected Tevatron collider sensitivities in the standard model Higgs $h\to b\overline{b}$ channel to show that it may be able to find $3\sigma$ evidence in the B-physics allowed regions for small or moderate values of the stop mixing parameter.

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