QCD and electroweak corrections for single and double Higgs boson production at the LHC

In these proceedings, we report recent progress of theoretical predictions for loop-induced Higgs boson production at the Large Hadron Collider (LHC). Our contributions include the next-to-leading order (NLO) QCD and electroweak corrections for single Higgs boson plus jet production, the NLO QCD corrections for single Higgs boson plus two jets production, and the NLO electroweak corrections for double Higgs boson production.