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 mo and the gaugino masses m_1/2, which we assume to be universal. The experimental constraints on sparticle and Higgs masses, b → sγ decay and the cold dark matter density Ω_CDMh² 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 ≲ A ₀/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 x - τ̃₁ coannihilation 'tail'.