deviations from TB mixing. Using the generic size of the flavon VEVs, these operators contribute at the level $\la^9$, while the LO alignment of the fields $\Phi^\nu_2$ and $\Phi^\nu_{3'}$ originates from terms of the order $\la^8$ Y\^\_2 \^\_1 \^\_2 + Y\^\_2 (\^\_2)\^2 + Y\^\_2 (\^\_[3’]{})\^2 + Z\^\_[3’]{} \^\_1 \^\_[3’]{} + Z\^\_[3’]{} \^\_2 \^\_[3’]{} + Z\^\_[3’]{} (\^\_[3’]{})\^2 . The conditions imposed by the $F$-terms of the fields $Y^\nu_{2}$ and $Z^\nu_{3'}$ not only determine the alignment of the vacuum of the fields $\Phi^\nu_1$, $\Phi^\nu_2$ and $\Phi^\nu_{3'}$, but they also relate the VEVs $\varphi^\nu_i$ so that only one free parameters exists, cf. Eq.(4.8) in [@HKL10]. We can thus parametrise the shifted VEVs as \^\_[3’]{}  = 

\^\_[3’]{} +\^\_[3’,1]{}\
\^\_[3’]{} +\^\_[3’,2]{}\
\^\_[3’]{} + \^\_[3’,3]{}

  , \^\_2 = 

\^\_2 +\^\_[2,1]{}\
\^\_2 +\^\_[2,2]{}

\^\_1  =  \^\_1  , with $\varphi^\nu_1$ being a free parameter. For the shifts in the VEVs of the neutrino flavons we find \[nushifts\] \^\_[2,1]{} \^\_[2,2]{} \^\_[3’,1]{}=\^\_[3’,2]{}=\^\_[3’,3]{} \^\_[i,j]{}/M = \^\_[i,j]{} \^5 still preserving the $Z_2$ symmetry generated by $S$ and thus tri-maximal mixing in the neutrino sector. Most importantly, the alignment of the VEV of $\Phi^\nu_{3'}$ is not disturbed. This is due to the fact that the operators determining the shifts $\Delta^\nu_{i,j}$ have the following 