[1112.3022] Higgs mass implications on the stability of the electroweak vacuum - edd's link with the article title in it.
That paper *assumes* no supersymmetry or other effects which might stabilize the Higgs particle -- it only uses the bare Standard Model.
Now for Higgs-particle mass estimates.
RÉSONAANCES: Twin Peaks in ATLAS gives these values:
Source | Mass |
ATLAS ZZ | 123.5 +- 1.1 GeV |
ATLAS γγ | 126.6 +- 1.1 GeV |
CMS ZZ -> 4l | 126.2 +- 0.6 GeV |
CMS γγ | 125.1 +- 0.7 GeV |
(the ATLAS stdevs I measured off of the graphs)
Jester, who blogged this, linked to some ATLAS sources, but used some CMS results based on 2011 data.
These results will likely get updated in time for the next high-energy-physics conferences this year.
I've burrowed through these sites to find their most recent estimates without much success:
ATLAS Experiment
CMS Public | CMS Experiment
So that paper's Higgs-mass estimates include the most recent experimental results.