and down sectors, the effect of the Kähler potential, is always sub-dominant and cannot change the structure coming from the superpotential. In the presence of a hierarchical texture ordered by an underlying family symmetry, the structure of the Kähler potential is such that the off-diagonal elements are given by powers of the same small expansion parameter that generates the hierarchy in the Yukawa matrices. Under these conditions we show that we can choose an upper triangular form for the inverse of the square root of the Kähler metric which brings the fields to the canonical basis. Using this form we can prove the subdominance of the Kähler corrections to the Yukawa matrices. Even in cases without a clear hierarchy we show that only unknown coefficients ${\mathcal{O}} (1)$ can be changed without modifying the structure of the observable mixings and masses, consistent with the results of [@leurernir]. Therefore our conclusions apply to all flavour models with hierarchical Yukawa textures considered in the literature.

The Kähler metric
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After the flavour symmetry is spontaneously broken we obtain a certain Yukawa texture given by non-renormalisable operators which are functions of the flavon vevs as in Eq. (\[one\]). In the same way the effective 