Constrained MSSM favoring new territories: The impact of new LHC limits and a 125 GeV Higgs boson

Abstract

We present an updated and extended global analysis of the Constrained MSSM (CMSSM) taking into account new limits on supersymmetry from ∼ 5/fb data sets at the LHC. In particular, in the case of the razor limit obtained by the CMS Collaboration we simulate detector efficiency for the experimental analysis and derive an approximate but accurate likelihood function. We discuss the impact on the global fit of a possible Higgs boson with mass near 125 GeV, as implied by recent data, and of a new improved limit on BR Bs → µ + µ − . We identify high posterior probability regions of the CMSSM parameters as the stau-coannihilation and the A-funnel region, with the importance of the latter now being much larger due to the combined effect of the above three LHC results and of dark matter relic density. We also find that the focus point region is now disfavored. Ensuing implications for superpartner masses favor even larger values than before, and even lower ranges for dark matter spin-independent cross section, σ SI p ∼ < 10 −9 pb. We also find that relatively minor variations in applying experimental constraints can induce a large shift in the location of the best-fit point. This puts into question the robustness of applying the usual χ 2 approach to the CMSSM. We discuss the goodness-of-fit and find that, while it is difficult to calculate a p-value, the (g − 2)µ constraint makes, nevertheless, the overall fit of the CMSSM poor. We consider a scan without this constraint, and we allow µ to be either positive or negative. We find that the global fit improves enormously for both signs of µ, with a slight preference for µ < 0 caused by a better fit to BR (b → sγ) and BR Bs → µ + µ − .

Scenarios for gluino coannihilation

“…The total density of cold dark matter is very tightly constrained by measurements of the cosmic microwave background radiation [13]. It is clear, therefore, that the parameters of generic models are constrained in very specific ways in order to realize the correct dark matter density [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Moreover, this parameter space with the correct density is likely to be found in a region of parameter space where the density varies rapidly with the parameters.…”

Indirect and direct detection prospect for TeV dark matter in the nine parameter MSSM

“…[8,9,[28][29][30][31][32][33]). Various statistical approaches have been used to infer the most probable regions of these scenarios.…”

GUT-inspired SUSY and the muon g-2 anomaly: Prospects for LHC 14 TeV

“…1, however, under those assumptions it has become no longer possible to find parameter space consistent with the (g − 2) µ constraint after the Higgs discovery and null searches for squarks and gluinos at LHC run I. As a matter of fact, in scans of the CMSSM and the NUHM the (g − 2) µ constraint is in some cases neglected [36,77] when looking for the regions of the parameter space favored by the Higgs measurement or the LHC. The issue is somewhat controversial and judgement is in general postponed to after an eventual confirmation by more precise upcoming experiments.…”

“…On the other hand, in scenarios where unification of the scalar and gaugino masses is imposed as a remnant of some new physics at the scale of Grand Unification (GUT scale), like in the well-known Constrained MSSM (CMSSM) or the Non-Universal Higgs Mass (NUHM) model, it has become virtually impossible to find regions of the parameter space where the measurement of δ (g − 2) µ can be reproduced (see, e.g., [35][36][37][38]). The reason is well known, and is due to the combined effect of direct lower limits on colored sparticles at the LHC and the discovery of a Higgs boson with m h 125 GeV [39][40][41], which together have pushed the favored parameter space for unified scalar and gaugino masses to the multi-TeV regime, thus indirectly forbidding the possibility of light sleptons, binos, and winos.…”