Hadronic production of a MSSM Higgs boson with a pair of stops at the LHC

We present the next-to-leading order supersymmetric-QCD corrections to the production of a light neutral minimal supersymmetric standard model Higgs boson with a pair of supersymmetric scalar partners of the top quark at next-to-leading order at the 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 renormalization/factorization scale dependence of the lowest order total cross section is strong. Including the next-to-leading order supersymmetric-QCD corrections significantly reduces and stabilizes the dependence of the lowest order total cross section on the renormalization/factorization scale.