Phenomenological Constraints on Patterns of Supersymmetry Breaking

Specific models of supersymmetry breaking predict relations between the trilinear and bilinear soft supersymmetry breaking parameters A0 and B0 at the input scale. In such models, the value of tan β can be calculated as a function of the scalar masses m0 and the gaugino masses m1/2, which we assume to be universal. The experimental constraints on sparticle and Higgs masses, b → sγ decay and the cold dark matter density ΩCDMh can then be used to constrain tan β in such specific models of supersymmetry breaking. In the simplest Polonyi model with A0 = (3− √ 3)m0 = B0 +m0, we find 11 <∼ tan β <∼ 20 (tan β ≃ 4.15) for μ > 0 (μ < 0). We also discuss other models with A0 = B0 +m0, finding that only the range −1.9 <∼ A0/m0 <∼ 2.5 is allowed for μ > 0, and the range 1.25 <∼ A0/m0 <∼ 4.8 for μ < 0. In these models, we find no solutions in the rapid-annihilation ‘funnels’ or in the ‘focus-point’ region. We also discuss the allowed range of tanβ in the no-scale model with A0 = B0 = 0. In all these models, most of the allowed regions are in the χ− τ̃1 coannihilation ‘tail’. CERN–TH/2003-107 May 2003