We verify that SU(N)_{{}_{TC}}\otimes SU(3)_{{}_{L}}\otimes U(1)_{{}_{X}}
models, where the gauge symmetry breaking is totally dynamical and promoted by
the non-Abelian technicolor (TC) group and the strong Abelian interactions, are
quite constrained by the LHC data. The theory contains a T quark self-energy
involving the mixing between the neutral gauge bosons, which introduces the
coupling between the light and heavy composite scalar bosons of the model. We
determine the lightest scalar boson mass for these models from an effective
action for composite operators, assuming details about the dynamics of the
strong interaction theories. Comparing the value of this mass with the ATLAS
and CMS observation of a new boson with a mass M_{\phi} \sim 125GeV and
considering the lower bound determined by the LHC Collaborations on the heavy
neutral gauge boson (Z^\prime) present in these models, we can establish
constraints on the possible models. For example, if SU(N)_{{}_{TC}}\equiv
SU(2)_{{}_{TC}}, with technifermions in the fundamental representation, the
model barely survives the confrontation with the LHC data.Comment: 19 pages, 3 figure
