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We study phenomenological implications of the ATLAS and CMS hint of a $125\pm1$ GeV Higgs boson for the singlet, and singlet plus doublet non-supersymmetricdark matter models, and for the phenomenology of the CMSSM. We show that inscalar dark matter models the vacuum stability bound on Higgs boson mass islower than in the standard model and the 125 GeV Higgs boson is consistent withthe models being valid up the GUT or Planck scale. We perform a detailed studyof the full CMSSM parameter space keeping the Higgs boson mass fixed to $125\pm1$ GeV, and study in detail the freeze-out processes that imply the observedamount of dark matter. After imposing all phenomenological constraints exceptfor the muon $(g-2)_\mu,$ we show that the CMSSM parameter space is dividedinto well separated regions with distinctive but in general heavy sparticlemass spectra. Imposing the $(g-2)_\mu$ constraint introduces severe tensionbetween the high SUSY scale and the experimental measurements -- only theslepton co-annihilation region survives with potentially testable sparticlemasses at the LHC. In the latter case the spin-independent DM-nucleonscattering cross section is predicted to be below detectable limit at theXENON100 but might be of measurable magnitude in the general case of light darkmatter with large bino-higgsino mixing and unobservably large scalar masses.

Implications of the 125 GeV Higgs boson for scalar dark matter and for the CMSSM phenomenology