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In supersymmetric models with gravity-mediated SUSY breaking, universality ofsoft SUSY breaking sfermion masses m_0 is motivated by the need to suppressunwanted flavor changing processes. The same motivation, however, does notapply to soft breaking Higgs masses, which may in general have independentmasses from matter scalars at the GUT scale. We explore phenomenologicalimplications of both the one-parameter and two-parameter non-universal Higgsmass models (NUHM1 and NUHM2), and examine the parameter ranges compatible withOmega_CDM h^2, BF(b --> s,gamma) and (g-2)_mu constraints. In contrast to themSUGRA model, in both NUHM1 and NUHM2 models, the dark matter A-annihilationfunnel can be reached at low values of tan(beta), while the higgsino darkmatter annihilation regions can be reached for low values of m_0. We show thatthere may be observable rates for indirect and direct detection of neutralinocold dark matter in phenomenologically aceptable ranges of parameter space. Wealso examine implications of the NUHM models for the Fermilab Tevatron, theCERN LHC and a Sqrt(s)=0.5-1 TeV e+e- linear collider. Novel possibilitiesinclude: very light s-top_R, s-charm_R squark and slepton_L masses as well aslight charginos and neutralinos and H, A and H^+/- Higgs bosons.

Direct, indirect and collider detection of neutralino dark matter in SUSY models with non-universal Higgs masses