the warped extra dimensional description, and for simplicity, we will assume that there is just one common mass scale for all the composite sector, $M_\phi=M$, the only exception being the Higgs, whose mass is determined by the dynamics responsible for $V(\Sigma)$. For similar reasons we will consider that there is a single mixing angle in the gauge sector for all the symmetry groups, thus we will trade $$\tan\theta_A\to\tan\theta \ .$$

Finally, note that the SM limit can be obtained by taking the composite scale $M\to\infty$, with finite mixing angles $\theta_{A,\psi,\tilde\psi}$. In this limit we recover a theory with massless fermions $\psi_L$ and $\tilde\psi_R$ and gauge bosons $A$ (before EWSB), and finite Yukawa couplings given by Eq. (\[yukawa\]).

Corrections to $Zb\bar b$ {#Zbb}
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We consider in this section the corrections to the $Z\psi\bar\psi$ couplings in the model described in the previous section. We will compute only the tree level modifications, they are generated by the mixings between the elementary sector and the composite states. In a perturbative expansion, we can consider bosonic and fermionic corrections separately. Although we will consider large mixings for the third generation of fermions, the perturbative approach will provide us useful information to select the fermion 