Date of this Version
PHYSICAL REVIEW D 87, 035017 (2013)
The recent discovery of a 125 GeV Higgs-like resonance at LHC, coupled with the lack of evidence for weak scale supersymmetry (SUSY), has severely constrained SUSY models such as minimal supergravity (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, [?], includes effects that arise from the high-scale origin of the mSUGRA parameters while the second measure, [?], 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 BS [?] and also require a light Higgs scalar with mh ~ 123-127 GeV. We present fine-tuning contours in the m0 vs m1/2 plane for several sets of A0 and tan [?] values. We also present results for [?] and [?] from a scan over the entire viable model parameter space. We find a [?] [?] 103, or at best 0.1%, fine-tuning. For the less stringent electroweak fine-tuning, we find [?] [?] 102, or at best 1%, fine-tuning. Two benchmark points are presented that have the lowest values of [?] and [?]. Our results provide a quantitative measure for ascertaining whether or not the remaining mSUGRA/CMSSM model parameter space is excessively fine-tuned and could provide impetus for considering alternative SUSY models.