and the down sector and we could reproduce the same fit with different powers of the same expansion parameter [@ramond][^6].

In this paper we consider the case that this hierarchical structure [Eq. (\[genform\])]{} is reproduced by the terms of the superpotential in the symmetry basis and we show that the effect of the Kähler potential is then always subdominant in its effects on the masses and mixing angles.

The Kähler corrections
----------------------

It proves to be useful in most realistic models to go to the canonically normalised basis by redefining the fields by a wave function normalisation matrix chosen to have the upper triangular form, as discussed above. Using this form the correction to the Yukawa coupling matrix in the Standard Model (SM) is of the form $$H \hat {\overline{\psi}}_L~ Y~ \hat \psi_R ~~\equiv ~~ H~\hat{\psi}_{L\,i}^*~Y_{ij}~\hat{\psi}_{R\,j}~~=~~H~\psi_{L\,k}^*
N_{L\,ik}^*~Y_{ij}~N_{R\,jm}\psi_{R\,m}~~=~~H~\psi_{L\,k}^*~Y_{km}^{t}~
\psi_{R,m}$$If we consider, for the moment, only the transformation on the Left Handed ($LH$) fields using our triangular matrices, with $N=U$, the total (t) Yukawa is, $$\begin{aligned}
Y_{ij}^{t} &=&\sum_{i\geq k}N_{ki}^{\ast }Y_{kj} \label{totYuk}
\simeq N_{ii}^{\ast }Y_{ij}+\sum_{i>k}N_{ki}^{\ast }Y_{kj}\end{aligned}$$

As may be seen in Eq. (\[one\]) the expansion parameters are given by terms of the form $<\theta >/M$ where $M$ is the messenger mass. In the 