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We explore the coannihilation region of the constrained minimal supersymmetric standard model (CMSSM) being consistent with current experimental/observational results. The requirements from the experimental/observational results are the 125GeV Higgs mass and the relic abundances of both the dark matter and light elements, especially the lithium-7. We put these requirements on the caluculated values, and thus we obtain allowed region. Then we give predictions to the mass spectra of the SUSY particles, the anomalous magnetic moment of muon, branching fractions of the Bmeson rare decays, the direct detection of the neutralino dark matter, and the number of SUSY particles produced in 14TeV run at the LHC experiment. Comparing these predictions with current bounds, we show the feasibility of the test for this scenario in near future experiment.

We propose helium-4 spallation processes induced by long-lived stau in supersymmetric standard models, and investigate an impact of the processes on light elements abundances. We show that, as long as the phase space of helium-4 spallation processes is open, they are more important than stau-catalyzed fusion and hence constrain the stau property.

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We propose helium-4 spallation processes induced by long-lived stau in supersymmetric standard models, and investigate an impact of the processes on light elements abundances. We show that, as long as the phase space of helium-4 spallation processes is open, they are more important than stau-catalyzed fusion and hence constrain the stau property.