SUSY Excluded Up To TeV Scale

The tight agreement between the experimental value of muon g-2 (i.e. the anomalous magnetic moment of the muon) and the Standard Model prediction for that observable quantity, and other observational constraints establish high minimum masses at which supersymmetric particles in supersymmetry can exist consistent with experiment, and the other constraints also limit ultra-high supersymmetric particle masses.

Generally, these supersymmetric particles would have to have masses in the 1 TeV to 3.8 TeV mass ranges (something for which there is absolutely no positive experimental evidence from collider experiment anomalies). Essentially, these estimates arise from the detection limits of the instruments used in the various observations that this study uses to constrain supersymmetric particle masses.

As a practical matter, this analysis is the dying gasp of a discredited beyond the Standard Model theory, optimized to make it seem like it could be found "just around the corner" of what current experiments allow us to access, but actually just kicking a dead horse.

WIMP dark matter made of SUSY super partner particles, for example, is already effectively ruled out by other data like galaxy dynamics and the inferred shape of dark matter halos in a dark matte paradigm.

Driven by the growing agreement between the experimentally measured muon anomalous magnetic moment and its SM prediction, we reexamine phenomenological consequences of the MSSM, which is embedded in the supersymmetric SU(4)(C)×SU(2)(L)×SU(2)(R) Pati-Salam model. In contrast to earlier studies that predominantly favored a specific sign for the Higgsino mass parameter, our analysis systematically explores both μ > 0, and μ < 0 scenarios in light of current collider, cosmological, and DM constraints.

Within this framework, we identify viable parameter space regions where the observed DM relic density is reproduced through multiple mechanisms: co-annihilations involving sbottom-neutralino, gluino-neutralino, stop-neutralino, stau-neutralino, and chargino-neutralino coannihilation, as well as resonant s-annihilation channel via the pseudoscalar Higgs boson. We demonstrate that all such scenarios are consistent with present bounds from LHC supersymmetry searches, the Planck~2018 DM relic density bound, and current limits from DD DM searches. 

Our results reveal characteristic mass spectra associated with these mechanisms. In particular, sbottom-neutralino coannihilation typically requires sbottom masses near 2.8 TeV, while gluino-neutralino and stop-neutralino coannihilation scenarios allow gluino masses in the range 1-3 TeV and stop masses between 1 and 3.5 TeV. In coannihilation-dominated regions, the stau and chargino masses may reach values as high as 3.8 TeV, whereas viable A resonance solutions are realized for pseudoscalar Higgs masses spanning approximately 1.6-3.8 TeV. We anticipate that a portion of the parameter space will be accessible to supersymmetry searches in LHC Run-3 and future runs.

Ali Muhammad, et al., "LHC Run-3, Dark Matter and Supersymmetric Spectra in the Supersymmetric Pati-Salam Model" arXiv:2603.24152 (March 25, 2026).