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In this project we study the phenomenology of models where the Higgs is abound state of a strongly interacting dynamics at the TeV scale and we assessthe LHC potential to discover new heavy colored states. In the first part ofthe 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 novelstrategy to discover a heavy gluon ($G^*$) and heavy fermions at the LHC. We doso by means of simple two-site effective Lagrangians, which could also be usedin further phenomenological studies on CHM. From the analysis of the bounds onthe CHM spectrum, we derive an important constraint on the masses of the heavyfermions which does not depend on the flavor structure of the sector beyond theSM. 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 thepresence of a custodial symmetry can play a role in protecting this effectivecoupling. Studying the heavy colored vectors phenomenology, we find that heavycomposite fermions have a great impact on the phenomenology of heavy compositegluon at the LHC. If the composite gluon is heavier than the compositefermions, as flavor observables seem to suggest, the search in the channelswhere $G^*$ decays into one heavy fermion plus its Standard Model partner isvery promising, with the possibility for both the $G^*$ and heavy fermions tobe discovered at the early stage of the LHC. These channels offer also thepossibility to extract important information on model's parameters, such as thetop degree of compositeness.

Phenomenology of heavy fermion and vector resonances in composite Higgs models