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We compute the total cross section for the production of a light CP evenHiggs boson within the framework of supersymmetric QCD up tonext-to-next-to-leading order. Technical subtleties in connection to theevaluation of three-loop Feynman integrals with many mass scales are discussedin detail and explicit results for the counterterms of the evanescent couplingsare provided. The new results are applied to several phenomenological scenarioswhich are in accordance with the recent discovery at the LHC. In a large partof the still allowed parameter space the $K$ factor of the supersymmetrictheory is close to the one of the Standard Model. However, for the case whereone of the top squarks is light, a deviation of more than 5% in thenext-to-next-to-leading order prediction of the cross section can be observedwhere at the same time the predicted Higgs boson mass has a value of about 125GeV.

Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion