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If all the supersymmetry particles (sparticles) except a light Higgs bosonare too heavy to be directly produced at the Large Hadron Collider (LHC) andTevatron, a possible way to reveal evidence for supersymmetry is through theirvirtual effects in other processes. We examine such supersymmetric QCD effectsin bottom pair production associated with a light Higgs boson at the LHC andTevatron. We find that if the relevant sparticles (gluinos and squarks) arewell above the TeV scale, too heavy to be directly produced, they can stillhave sizable virtual effects in this process. For large $\tan\beta$, suchresidual effects can alter the production rate by as much as 40 percent, whichshould be observable in future measurements of this process.Comment: results for Tevatron added, version in PR

Heavy supersymmetric particle effects in the Higgs boson production associated with a bottom quark pair at the CERN LHC and at the Fermilab Tevatron