Dark Matter, Muon g-2 and Other SUSY Constraints

Abstract

Recent developments constraining the SUSY parameter space are reviewed within the framework of SUGRA GUT models. The WMAP data is seen to reduce the error in the density of cold dark matter by about a factor of four, implying that the lightest stau is only 5–10 GeV heavier than the lightest neutralino when m ₀, m _1/2 < 1 TeV. The CMD-2 re-analysis of their data has reduced the disagreement between the Standard Model prediction and the Brookhaven measurement of the muon magnetic moment to 1.9 σ, while using the tau decay data plus CVC, the disagreement is 0.7 σ. (However, the two sets of data remain inconsistent at the 2.9 σ level.) The recent Belle and BABAR measurements of the B → φK CP violating parameters and branching ratios are discussed. They are analyzed theoretically within the BBNS improved factorization method. The CP parameters are in disagreement with the Standard Model at the 2.7 σ level, and the branching ratios are low by a factor of two or more over most of the parameter space. It is shown that both anomalies can naturally be accounted for by adding a non-universal cubic soft breaking term at M _G mixing the second and third generations.