-
m_{3/2} {\overline{F}}^{\overline{m}} \partial_{\overline{m}} Z
+\ m_{3/2} F^m \left[ \partial_m Z - 
Z \partial_m \log({\tilde K_{H_1}}{\tilde K_{H_2}})\right]
\\ 
&\left.-\ {\overline{F}}^{\overline{m}} F^n 
\left[ \partial_{\overline{m}} \partial_n Z - 
 \partial_{\overline{m}} Z 
\partial_n \log({\tilde K_{H_1}}{\tilde K_{H_2}})
\right] \right\}.  
\end{split}\end{gathered}$$

While calculating the bilinear coupling parameter, we assume $Z_{\alpha\beta}
= 0$[@ibanez] in the Kähler potential (\[kahler\]) for simplicity. In this limit, one may use $\hat{\mu} = 
\left(  \frac{ {\hat W}^*}{|{\hat W}|} e^{\hat K/2} {\mu}\right)
 ({\tilde K}_{H_1}{\tilde K}_{H_2})^{-1/2}$, where $\tilde{K}_{H_1}$ and $\tilde{K}_{H_2}$ are the Kähler metric coupled to the Higgs fields $H_1$ and $H_2$ respectively. In all the above three expressions, ((\[mmmatrix\]) - (\[mmmatrix3\])), $F_m$ is the hidden sector auxiliary field and $\widehat{K}_m$ is the derivative of the Kähler potential with respect to the hidden sector field $h_m$. Now using $h_m = \{T,S\}$ and $\tilde{K}_{\alpha} = (\tilde T + \tilde T^*)^{-1}$, the various soft parameters can be computed in the present case. Using the expressions for the superpotential(\[superpot\]), the Kähler potential(\[kahler2\]), the constraint conditions (\[constraint1\]), (\[const2\]) and also the conditions for extremum ((\[potmint1\]) and (\[potmint2\])) for the scalar potential (\[scalarpot\]) the VEV for all moduli fields may be fixed. Though the above expressions(\[mmmatrix\],  \[mmmatrix2\], \[mmmatrix3\]) have been expressed in the units $M_p=1$ unit , to get 