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SM Higgs mass bounds from theory

Thomas Hambye·Kurt Riesselmann
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Abstract

The two-loop Higgs mass upper bounds are reanalyzed. Previous results for a cutoff scale $Λ\approx$ few TeV are found to be too stringent. For $Λ=10^{19}$ GeV we find $M_H < 180 \pm 4\pm 5$ GeV, the first error indicating the theoretical uncertainty, the second error reflecting the experimental uncertainty due to $ m_t = 175 \pm 6 $ GeV. We also summarize the lower bounds on $M_H$. We find that a SM Higgs mass in the range of 160 to 170 GeV will certainly allow for a perturbative and well-behaved SM up to the Planck-mass scale $Λ_{Pl}\simeq 10^{19}$ GeV, with no need for new physics to set in below this scale.

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Thomas Hambye, Kurt Riesselmann. 1997-08-20. SM Higgs mass bounds from theory. https://arxiv.org/abs/hep-ph/9708416

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