Abstract:The recent discovery of a 125 GeV Higgs-like resonance at LHC, coupled with the lack of evidence for weak scale supersymmetry (SUSY), have severely constrained SUSY models such as mSUGRA/CMSSM. As LHC probes deeper into SUSY model parameter space, the little hierarchy problem -how to reconcile the Z and Higgs boson mass scale with the scale of SUSY breaking -will become increasingly exacerbated unless a sparticle signal is found. We evaluate two different measures of fine-tuning in the mSUGRA/CMSSM model. The more stringent of these, ∆ HS , includes effects that arise from the high scale origin of the mSUGRA parameters while the second measure, ∆ EW , is determined only by weak scale parameters: hence, it is universal to any model with the same particle spectrum and couplings. Our results incorporate the latest constraints from LHC7 sparticle searches, LHCb limits from B s → µ + µ − and also require a light Higgs scalar with m h ∼ 123 − 127 GeV. We present fine-tuning contours in the m 0 vs. m 1/2 plane for several sets of A 0 and tan β values. We also present results for ∆ HS and ∆ EW from a scan over the entire viable model parameter space. We find a ∆ HS 10 3 , or at best 0.1% fine-tuning. For the less stringent electroweak fine tuning, we find ∆ EW 10 2 , or at best 1% fine-tuning. Two benchmark points are presented that have the lowest values of ∆ HS and ∆ EW . Our results provide a quantitative measure for ascertaining whether or not the remaining mSUGRA/CMSSM model parameter space is excessively fine-tuned, and so could provide impetus for considering alternative SUSY models.-1 -