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
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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Why this is evidence
The measured Mh lands about two combined sigma below the critical stability value — close enough that absolute stability is only marginally excluded. H-6 predicts the parameters cluster near the phase boundary, so a Higgs mass within a few GeV of the critical value is expected; under H-43 the mass could have fallen anywhere in its allowed range, making such proximity an unforced coincidence.