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Higgs Decay to Order α_s^4

K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser

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%.

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 . The new three-loop correction increases the Higgs-boson hadronic width by an amount of order 1%.

Paper Structure

This paper contains 13 equations, 1 figure.

Figures (1)

  • Figure 1: Typical diagrams generating ${\cal O}(\alpha_s^2)$ corrections to $\Gamma(H\to gg)$. Bold-faced (dashed) lines represent the top quark (Higgs boson).