Supersymmetry and Dark Matter

Abstract

We examine supergravity models with grand unification at M_G possessing R parity invariance. Current data has begun to significantly constrain the parameter space. Thus for mSUGRA, accelerator data places a lower bound on m_{1/2} of m_{1/2} >~300 GeV while astronomical data on the amount of relic dark matter narrowly determines m_0 in terms of m_{1/2} (for fixed value of tanbeta 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, \delta a_\mu, and if \delta a_\mu lies 1 \sigma above its current central value, it would exclude mSUGRA, while if it lies 1\sigma below (but is still positive) it pushes the SUSY spectrum into the TeV domain. The B_s ->\mu^+ \mu^- decay is seen to be accessible to the Tevatron RunII with branching ratio sensitivity of Br[B_s ->\mu^+ \mu^-] > 6.5\times10^{-9} with 15 fb^{-1}/detector, and a value of 7(14)\times10^{-8} obtainable with 2 fb^{-1} would be sufficient to exclude mSUGRA for tan beta < 50(55). Measurements of B_s ->\mu^+ \mu^- can cover the full mSUGRA parameter space for tanbeta > 40 if \delta a_\mu > 11\times10^{-10}, and combined measurements of B_s -> \mu^+ \mu^-, a_\mu and m_h (or alternately the gluino mass) would effectively determine the mSUGRA parameters for \mu > 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.