Higgs Decay to Order α_s^4

Abstract

We present in analytic form the three-loop O(α_s^2) correction to the H -> gg partial width of the standard-model Higgs boson with intermediate mass M_H << 2 M_t. Its knowledge is required because the O(α_s) correction is so sizeable that the theoretical prediction to this order is unlikely to be reliable. For M_H=100 GeV, the resulting QCD correction factor reads $1+(215/12)α_s^{(5)}(M_H)/π+150.419 (α_s^{(5)}(M_H)/π)^2 \approx 1+0.66+0.21$. The new three-loop correction increases the Higgs-boson hadronic width by an amount of order 1%.