We present the SUSY QCD corrections to the production of light neutral MSSM Higgs boson with a pair of supersymmetric scalar partners of the top quark at next-to-leading order at LHC. We study the dependence of the lowest order total cross section on both the renormalization/factorization scale and the Higgs mass in the framework of minimal supergravity, taking the point SPS1a as a benchmark, for the numerical calculations. The dependence of the total cross section is strong. Including the NLO SUSY QCD corrections significantly reduce and stabilize the dependence of the lowest order total cross section on the renormalization/factorization scale.
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