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A non-universal scalar mass supergravity type of model is explored where thefirst two generation of scalars and the third generation of sleptons may bevery massive. Lighter or vanishing third generation of squarks as well as Higgsscalars at the unification scale cause the radiative electroweak symmetrybreaking constraint to be less prohibitive. Thus, both FCNC/CP-violationproblems as well as the naturalness problem are within control. We identify alarge slepton mass effect in the RGE of $m_{H_D}^2$ (for the down type ofHiggs) that may turn the later negative at the electroweak scale even for asmall $\tan\beta$. A hyperbolic branch/focus point like effect is found for$m_A^2$ that may result in very light Higgs spectra. The lightest stableparticle is dominantly a bino that pair annihilates via Higgs exchange, givingrise to a WMAP satisfied relic density region for all $\tan\beta$. Detectionprospects of such LSPs in the upcoming dark matter experiments both of directand indirect types (photon flux) are interesting. The Higgs bosons and thethird generation of squarks are light in this scenario and these may be easilyprobed besides charginos and neutralinos in the early runs of LHC.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Higgs funnel region of SUSY dark matter for small $\tan\beta$ and  renormalization group effects on pseudoscalar Higgs boson with scalar mass  non-universality