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arXiv · hep-ph/9701277

Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays

K. G. Chetyrkin·B. A. Kniehl·M. Steinhauser
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Abstract

We calculate the top-quark-induced three-loop corrections of O(alpha_s^2 G_F M_t^2) to the Yukawa couplings of the first five quark flavours in the framework of the minimal standard model with an intermediate-mass Higgs boson, with mass M_H << 2M_t. The calculation is performed using an effective-Lagrangian approach implemented with the hard-mass procedure. As an application, we derive the O(alpha_s^2 G_F M_t^2) corrections to the H -> q q-bar partial decay widths, including the case q=b. The couplings of the Higgs boson to pairs of leptons and intermediate bosons being known to O(alpha_s^2 G_F M_t^2), this completes the knowledge of such corrections in the Higgs sector. We express the results both in the MS-bar and on-shell schemes of mass renormalization. We recover the notion that the QCD perturbation expansions exhibit a worse convergence behaviour in the on-shell scheme than they do in the MS-bar scheme.

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K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser. 1997-01-13. Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays. https://doi.org/10.1016/s0550-3213(97)00051-5

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