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O-4 - NNLO absolute stability of the SM vacuum up to the Planck scale requires Mh above 129.4 GeV, excluded at 98 percent CL by the measured Higgs mass

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Properties6
type
observation
id
O-4
statement
The first complete NNLO analysis of the SM Higgs potential gives the absolute-stability condition Mh > 129.4 + 1.4[(Mt-173.1 GeV)/0.7] - 0.5[(as(MZ)-0.1184)/0.0007] +- 1.0_th GeV, i.e. Mh > 129.4 +- 1.8 GeV combined; with the measured Mh = 125.5 +- 0.5 GeV, absolute stability of the SM potential up to M_Pl is excluded at 98 percent CL (one-sided) for Mh < 126 GeV. The new two-loop threshold corrections to lambda reduce the theory error on the critical Mh from ~3 GeV to ~1 GeV.
source
S-20 - Degrassi et al. 2012, Higgs mass and vacuum stability in the Standard Model at NNLO
locator
§1, eqs. (2)-(3); §3.3, fig. 5
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linked

Inputs: Mt = 173.1 +- 0.7 GeV (Tevatron+LHC average), as(MZ) = 0.1184 +- 0.0007, Mh = 125.5 +- 0.5 GeV from ATLAS/CMS. Ingredients: three-loop RG equations, two-loop effective potential, and the first complete two-loop QCD+Yukawa threshold correction to lambda at the weak scale. The NNLO corrections shift the critical Mh by about +0.5 GeV relative to NLO and lower the instability scale by a factor ~2 at Mh ~ 125 GeV.

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