show the configurations that reproduce the observables by performing a full numeric diagonalization in the gauge and fermionic sectors. As mentioned in sec. \[effmodel\], we will not consider mixings between the three generations in our approach, that analysis is beyond the scope of this work. However we consider important being able to obtain the proper results in this simplified approach, without relying in potential new contributions from the full approach that could improve the situation.

After EWSB all the states with the same electric charge are mixed. To obtain the couplings between the physical states we have to diagonalize the full mass matrices of the gauge bosons and fermions. These matrices include contributions from the composite sector, the elementary/composite mixing and the contributions from the Higgs vev, that depend on the embeddings. The lightest state in the down and up fermionic sectors correspond to the physical $b$- and $t$-quarks respectively. The photon decouples due to the remaining electromagnetic gauge symmetry and the lightest massive neutral vector state corresponds to the physical $Z$-boson. After rotation from the flavour basis to the physical mass basis in the interaction terms, we obtain the interactions between the physical states.

Let us consider the parameters 