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We discuss the recent derivation of the three-loop ${\cal O}(\alpha\alpha_s)$contribution to the Higgs boson production cross section via gluon fusionarising from diagrams with light quarks, using an effective theory approach. Weshow results for the updated prediction of this process accounting for all thenew theoretical calculations and the newest MSTW PDFs.

QCD-electroweak effects and a new prediction for Higgs production in gluon fusion process