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New perturbative upper bound on M_H from fermionic Higgs decays at two loops

Loyal Durand·Bernd Kniehl·Kurt Riesselmann
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Abstract

We present the dominant two-loop ${\rm O}\left(G_F^2M_H^4\right)$ electroweak corrections to the fermi\-onic decay widths of a high-mass Higgs boson in the Standard Model. The corrections are negative and quite significant, and are larger in magnitude than the one-loop electroweak corrections for $M_H\gsim 400\ {\rm GeV}$. This indicates the onset of a breakdown of perturbation theory in the Higgs sector of the Standard Model at this surprisingly low value of the Higgs-boson mass.

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Loyal Durand, Bernd Kniehl, Kurt Riesselmann. 1993-10-01. New perturbative upper bound on M_H from fermionic Higgs decays at two loops. https://arxiv.org/abs/hep-ph/9310205

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