Non-decoupling SUSY Quantum Effects in Higgs-Boson Production p p -> b h+X

The Higgs boson production $p p (or p p_bar) -> b h +X$ via subprocess $b g -> b h$ at hadron colliders, which is an important channel for testing Higgs Yukawa coupling to bottom quark, is subject to large supersymmetric quantum corrections. We in this work studied the SUSY-QCD corrections to this process and found such corrections are so large in some parameter space that they must be included in the prediction. We also studied the decoupling behavior of the corrections. The analytic expression of the corrections in the heavy limit of sparticle masses is derived explicitly. We found that in some scenarios the corrections do not vanish in the decoupling limit. Such non-decoupling quantum effects will play an important role in the indirect test of supersymmetry, especially in case that the sparticles are too heavy (above TeV) to be directly discovered at the LHC.