the VEVs of the two components $\wt\Phi^d_{3,2}$ and $\wt\Phi^d_{3,3}$ still arises at the order $\la^5$ and the results of fermion masses and mixing are not altered. Similarly, the effect of the enhanced shift $\Delta^u_{2,2}$ is not relevant, because its effect can be absorbed into the LO VEV $\varphi^u_2$.

[|c||c|c|c|c|c|c|c|c|]{}

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Field & $\ol{B}$ & $B$ & $A$ & $\ol{A}$ & $\Xi$ & $\ol{\Xi}$&$\Gamma$&$\ol\Gamma$\

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$SU(5)$ & $\bf \overline{5}$ & $\bf 5$ & $\bf 10$ & $\bf \overline{10}$ & $\bf 10$ & $\bf \overline{10}$&${\bf 1}$&${\bf 1}$\
$S_4$ & $\bf 1$ & $\bf 1$ & $\bf 2$ & $\bf 2$ & $(\bf{1},\bf{1'})$ & $(\bf{1},\bf{1'})$& $\bf{3}$& $\bf{3}$\
$U(1)$ & $0$ & $0$ & $-5$ & $5$ & $5$ & $-5$&$-3$&$3$\

Messengers
==========

We present here a set of messengers which allows to UV-complete all leading operators contributing directly to fermion mass matrices and not only the last two ones mentioned in Eq.(\[LOdown\]). In doing so we restrict ourselves to consider matter messengers only which have $U(1)_R$ charge $+1$ like the superfields $T$, $T_3$, $F$ and $N$.

As has been discussed in detail in [@HKL10] a viable UV completion leading to the last two operators in Eq.(\[LOdown\]) is given by the messengers: $\Sigma \sim 