the scalar potential (\[pot1\]) giving rise to the full scalar potential of the theory. Choosing the Kähler metric of the observable sector in diagonal form as

$$\label{delta}
{\tilde K}_{\overline{\alpha} \beta}(h_m,h_m^*) = 
{\delta}_{\overline {\alpha} \beta} 
{\tilde K}_{\alpha}(h_m,h_m^*)$$

and canonically normalizing the fields we get the scalar part of the the effective soft Lagrangian

$$\label{softLagrangian}
{\cal L}_{soft} = 
- m_{\alpha}^2 \tilde{C}^{*\overline {\alpha}}
\tilde{C}^{\alpha} - \left(\frac{1}{6} A_{\alpha \beta \gamma} Y_{\alpha \beta \gamma} \tilde{C}^{\alpha} \tilde{C}^{\beta} \tilde{C}^{\gamma}
+ B {\mu} H_1 H_2+h.c.\right)$$

where $\tilde{C}^\alpha$ is the canonically normalized MSSM fields, $m_\alpha$ is the scalar mass, $A_{\alpha \beta \gamma}$ is the trilinear coupling and $B$ is the bilinear Higgs coupling. Here $H_1,H_2$ are the two Higgs fields in the MSSM. These three soft mass parameters can be expressed in terms of the Kähler potential and superpotential as follows.

$$\begin{gathered}
\label{mmmatrix}
{m}_{\alpha}^2 = 
\left(m_{3/2}^2+\frac{V_{h0}}{M_P^2}\right) - {\overline{F}}^{\overline{m}} F^n 
\partial_{\overline{m}}\partial_n \log{\tilde K_{\alpha}},\\
\label{mmmatrix2}
A_{\alpha\beta\gamma} = 
F^m \left[{\hat K}_m/{M_P^2} + \partial_m \log Y_{\alpha\beta\gamma} 
- \partial_m \log({\tilde K_{\alpha}} {\tilde K_{\beta}}
{\tilde K_{\gamma}}) \right],\\ 
\label{mmmatrix3}
\begin{split}
B = &{\hat \mu}^{-1}({\tilde K}_{H_1}{\tilde K}_{H_2})^{-1/2}
\left\{ \frac{ {\hat W}^*}{|{\hat W}|} e^{{\hat K}/2} \mu 
\left( F^m \left[ {\hat K}_m + \partial_m \log\mu\right.\right.\right.
\left.\left.-\ \partial_m \log({\tilde K_{H_1}}{\tilde K_{H_2}})\right]
- m_{3/2} \right)
\\ 
&+ 
\left( 2m_{3/2}^2+V_0 \right) {Z} 