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We compute corrections to the decay of the Standard Model Higgs boson tohadrons, to the fourth order in the strong coupling constant $\alpha_s$. We usean effective theory in which the Higgs boson couples directly to bottom quarksand to gluons, via top quark--mediated effective couplings. Numerically, ourresults are of a comparable size to the previously-known "massless"contributions and complete the order $\alpha_s^4$ corrections to the hadronicdecay of the Higgs boson. In these proceedings we also provide an independentcross check of the gluonic Higgs boson decay at order $\alpha_s^5$.

Hadronic Higgs boson decay at order $\alpha_s^4$ and $\alpha_s^5$