Soft supersymmetry breaking with tiny cosmological constant in flux compactified [inline image][inline image] supergravity

Using the flux compactification scenario in a generic supergravity model we propose a set of conditions which will generate de-Sitter or anti-de-Sitter vacua for appropriate choices of the parameters in superpotential. It is shown that a mass spectrum consistent with softly broken TeV scale supersymmetry in a minimal supersymmetric standard model at the observable sector can be obtained along with a tiny cosmological constant when the Kaehler and superpotential of the hidden sector satisfy a set of general constraints. Constructing a specific model which satisfy the above constraints, it is demonstrated that all the hidden sector fields have vacuum expectation values close to Planck scale and the resulting low energy potential does not have any flat direction.