Precision calculations for Higgs-boson production at hadron colliders

The next-to-next-to-leading order (NNLO) calculation of the effective Higgs gluon coupling $C_1$ for the lightest Minimal Supersymmetric Standard Model (MSSM) Higgs boson $h^0$ is presented. Selected numerical results for the total production cross section of $h^0$ via gluon fusion at the LHC within the effective field theory approach are shown in the NNLO approximation.

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