superfields in the hidden sector as well as in the observable sector. The superpotential and Kähler potential which represent the hidden sector contributions are denoted by $\hat W$ and $\hat K$.

While generating the small AdS minimum at the hidden sector, we will now try to address the following question in context of the present scenario vis-a-vis the KKLT model on a very general ground.

-   Does the inclusion of the extra modulus in the set-up improves our understanding of the intermediate local supersymmetry breaking and helps to generate a vanishingly small positive cosmological constant as well as viable susy breaking terms at the observable sector?

In seeking a probable answer to this question an additional hidden sector moduli $S$ is inserted in the superpotential and Kähler potential (\[superpot4\]). In particular, the additional term in the superpotential is intended for providing an mechanism for susy breaking at the intermediate scale. The modified superpotential assumes the form,

$$\label{superpot} 
\hat W= W_0+A e^{- a \tilde T}+f(\tilde S).$$

In the present set-up the tree level Kähler potential may receive corrections from various sources, e.g string loop correction (higher order in $\alpha'$ and $g_s$). With this possibility in mind a correction term $h(\tilde{T} + 