  In this project we study the phenomenology of models where the Higgs is a
bound state of a strongly interacting dynamics at the TeV scale and we assess
the LHC potential to discover new heavy colored states. In the first part of
the thesis we analyze the bounds on the spectrum of Composite Higgs Models
(CHM) that come from flavor observables. In the second part we propose a novel
strategy to discover a heavy gluon ($G^*$) and heavy fermions at the LHC. We do
so by means of simple two-site effective Lagrangians, which could also be used
in further phenomenological studies on CHM. From the analysis of the bounds on
the CHM spectrum, we derive an important constraint on the masses of the heavy
fermions which does not depend on the flavor structure of the sector beyond the
SM. This bound is obtained from the infrared contribution to $b \to s\gamma$
induced by the flavor-conserving effective vertex $Wt_Rb_R$. We find that the
presence of a custodial symmetry can play a role in protecting this effective
coupling. Studying the heavy colored vectors phenomenology, we find that heavy
composite fermions have a great impact on the phenomenology of heavy composite
gluon at the LHC. If the composite gluon is heavier than the composite
fermions, as flavor observables seem to suggest, the search in the channels
where $G^*$ decays into one heavy fermion plus its Standard Model partner is
very promising, with the possibility for both the $G^*$ and heavy fermions to
be discovered at the early stage of the LHC. These channels offer also the
possibility to extract important information on model's parameters, such as the
top degree of compositeness.
