do not apply. In what follows we consider this possibility separately.

Using this we will now calculate the canonical Yukawa through Eq. ([totYuk]{}). Although we have started with the superpotential generating the form of Eq. (\[genform\]) in the symmetry basis we have the freedom to use any basis when calculating the effects on physical quantities. It is convenient to go to the Cholesky form when determining the effects of the Kähler potential and we use an upper triangular form for the Kähler rescaling matrix in the $LH$ sector with $N_{ki}^{L}=0$ for $i<k.$ The corrections to a given element of the Yukawa matrix induced by the transformation to canonical Kähler are given by $N_{ki}^*Y_{kj}$.

### No additional texture zeros

We first consider the case without additional texture zeros so that all of $a,b,c,d$ are of ${\mathcal{O}}(1).$ Taking into account that $Y_{kj}<Y_{ij}$ for $i>k$ and $\ j\geq i$ we conclude that $N_{ki}Y_{kj}<Y_{ij}$. Therefore, these corrections are always sub-dominant in $\epsilon $. This is not yet sufficient to prove that the transformation to the canonical left handed Kähler basis does not change the observable mixings and masses because they could be sensitive to elements of $Y$ below the diagonal. Given the bounds of 