if the situation for $d_e^{FC}$ appears more optimistic, it is worth to underline that the previous upper estimate actually applies to models with at least four $O(1)$ neutrino Yukawa couplings and large CP phases, like those in Ref. [@ellis-n]. However, as we now turn to discuss, the FV contribution, underestimated by previous analyses, could drastically enhance the $d_i$ upper estimate.

Flavour violating contributions
-------------------------------

In the following we isolate the potentially most important products of $\d$’s and give an estimate of their relative magnitude with respect to the FC amplitude. The relevant approximations for the flavour violating elements, $i \neq j$, of the $\d$’s are: m\_L m\_R \^[LR]{}\_[ij]{} & = & a\_0 m\_[i]{} \[ - 2 t\_3 [N]{}\_[ij]{} + \_[a]{} F\_A(a , a )\_[ij]{} + \_[a&gt;b]{} t\_a t\_b F\_A(a,b)\_[ij]{} \] \[eq\_Aess\]\
m\^2\_R \^[RR]{}\_[ij]{} & = & \_[a]{} F\_R( a , a )\_[ij]{} + \_[a&gt;b]{} t\_a t\_b F\_R(a,b)\_[ij]{} \[eq\_Rss\]\
m\^2\_L \^[LL]{}\_[ij]{} &=& - (6 02 +2 02 ) t\_3 [N]{}\_[ij]{} + \_[a]{} F\_L( a , a )\_[ij]{} + \_[a&gt;b]{} t\_a t\_b F\_L(a,b)\_[ij]{} \[eq\_Lss\] where $a,b=1,2,3$ , the matrix $\cal N$ is defined as $ t_3 {\cal N}  \equiv t_3 \3 + t_2 \2 +t_1 \1 $ and F\_A(a,b) &=& 15 { 