Supersymmetry and Dark Matter

Abstract

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 mo in terms of m1/2 (for fixed value of tanβ and A 0) 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, δa μ , and if δ a μ lies 1 σ above its current central value, it would exclude mSUGRA, while if it lies 1σ below (but is still positive) it pushes the SUSY spectrum into the TeV domain. The B s → μ + μ - decay is seen to be accessible to the Tevatron Runll with branching ratio sensitivity of Br[B s → μ + μ -] > 6.5 x 10-9 with 15fb-1 /detector, and a value of 7(14) x 10-8 obtainable with 2fb-1 would be sufficient to exclude mSUGRA for tan β 40 if δ a μ > 11 x 10-10, and combined measurements of B s → μ + μ -, a μ and m h (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.