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We calculate the next-to-leading order electroweak corrections forHiggs-boson production in gluon fusion and the Higgs-boson decay into twophotons or gluons in the real Higgs-singlet extension of the Standard model(HSESM). For the light Higgs-boson of the HSESM the electroweak corrections forthese processes are of the same order of magnitude as in the Standard model.For the heavy Higgs-boson of the HSESM the electroweak corrections can becomelarge depending on the considered scenario.

Electroweak corrections to $g+g\to H_{l,h}$ and $H_{l,h}\to\gamma+\gamma$ in the Higgs-singlet extension of the Standard model