and plugging in the LO vacuum alignment, see Eqs.(\[VEVup\]-\[VEVnu\]), the contributions to the fermion mass matrices read (up to order $\la^8$) &&-\_1 \_2 (\^d\_3/M\_B ) F\_3 T\_3 H\_ ,\
&& \_1 \_2 \_1 ( \^u\_2\^u\_2/(M\_A M\_) ) T\_1 T\_1 H\_5 - \_1 \_2 ( \^u\_2/M\_A ) T\_2 T\_2 H\_5 ,\
&& -\_1 \_2 ( \^d\_2/M\_) ( N\_1 N\_2 + N\_2 N\_1 + N\_3 N\_3 ) . Contributions coming from, for example, the presence of the coupling $\gamma_4$ turn out to be of order $\la^9$ or smaller and thus are irrelevant, while contributions associated with the shifts in the flavon VEVs are of the same form and order as in the effective theory, see for details [@HKL10].

We find one additional term \[termadd\] x B which gives rise to the operator in Eq.(\[opcheta\]). The latter induces a contribution of order $\la^7$ to the down quark and charged lepton mass matrix which is of the form \_3 \_1 x ( \^d\_3 /(M\_B M\_)) ( F\_2 T\_3 - F\_3 T\_3 ) H\_ , if the messengers are integrated out and the LO VEVs are plugged in. We note that the coupling $\alpha_3$ is defined in Eq.(B.1) of [@HKL10] as the coupling of the 