Supersymmetry and Dark Matter

Original · EN

We examine supergravity models with grand unification at MG possessing R parity invariance. Current data has begun to significantly constrain the parameter space. Thus for mSUGRA, accelerator data places a lower bound on m₁/₂ of m₁/₂ > 300 GeV while astronomical data on the amount of relic dark matter narrowly determines m₀ in terms of m₁/₂ (for fixed value of tanbeta and A₀) due to co-annihilation effects. Additional new data could fix the parameters further. Thus the parameter space is sensitive to the muon magnetic moment anomaly, δaμ, and if δaμlies 1 σabove its current central value, it would exclude mSUGRA, while if it lies 1σbelow (but is still positive) it pushes the SUSY spectrum into the TeV domain. The Bₛ ->μ+ μ- decay is seen to be accessible to the Tevatron RunII with branching ratio sensitivity of Br[Bₛ ->μ+ μ-] > 6.5×10⁻⁹ with 15 fb⁻¹/detector, and a value of 7(14)×10⁻⁸ obtainable with 2 fb⁻¹ would be sufficient to exclude mSUGRA for tan beta < 50(55). Measurements of Bₛ ->μ+ μ- can cover the full mSUGRA parameter space for tanbeta > 40 if δaμ> 11×10⁻¹⁰, and combined measurements of Bₛ -> μ+ μ-, aμand mₕ (or alternately the gluino mass) would effectively determine the mSUGRA parameters for μ> 0. Detector cross sections are then within the range of planned future dark matter experiments. Non-universal models are also discussed, and it is seen that detector cross sections there can be much larger, and can be in the DAMA data region.