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The recent discovery of a 125 GeV Higgs-like resonance at LHC, coupled withthe lack of evidence for weak scale supersymmetry (SUSY), have severelyconstrained SUSY models such as mSUGRA/CMSSM. As LHC probes deeper into SUSYmodel parameter space, the little hierarchy problem -- how to reconcile the Zand Higgs boson mass scale with the scale of SUSY breaking -- will becomeincreasingly exacerbated unless a sparticle signal is found. We evaluate twodifferent measures of fine-tuning in the mSUGRA/CMSSM model. The more stringentof these, \Delta_{HS}, includes effects that arise from the high scale originof the mSUGRA parameters while the second measure, \Delta_{EW}, is determinedonly by weak scale parameters: hence, it is universal to any model with thesame particle spectrum and couplings. Our results incorporate the latestconstraints from LHC7 sparticle searches, LHCb limits from B_s ->\mu^+\mu^- andalso require a light Higgs scalar with m_h ~123-127 GeV. We present fine-tuningcontours in the m_0 vs. m_{1/2} plane for several sets of A_0 and tan(\beta)values. We also present results for \Delta_{HS} and \Delta_{EW} from a scanover the entire viable model parameter space. We find a \Delta_{HS} > 10^3, orat best 0.1% fine-tuning. For the less stringent electroweak fine tuning, wefind \Delta_{EW} > 10^2, or at best 1% fine-tuning. Two benchmark points arepresented that have the lowest values of \Delta_{HS} and \Delta_{EW}. Ourresults provide a quantitative measure for ascertaining whether or not theremaining mSUGRA/CMSSM model parameter space is excessively fine-tuned, and socould provide impetus for considering alternative SUSY models.

Post-LHC7 fine-tuning in the mSUGRA/CMSSM model with a 125 GeV Higgs boson