  We examine a simple Composite Higgs Model (CHM) with vector resonances in
addition to the Standard Model (SM) fields in perturbation theory by using the
$K$-matrix method to implement unitarity constraints. We find that the $W_LW_L$
scattering amplitude has an additional scalar pole (analogous to the $\sigma$
meson of QCD) as in generic strongly interacting extensions of the SM. The mass
and width of this dynamically generated scalar resonance are large and the mass
behaves contrary to the vector one, so that when the vector resonance is
lighter, the scalar one is heavier, and vice versa. We also attempt an
interpretation of this new resonance. Altogether, the presence of the vector
state with the symmetries of the CHM improve the low-energy unitarity behavior
also in the scalar-isoscalar channel.
