  Colored fermionic partners of the top quark are well-known signatures of the
Composite Higgs scenario and for this reason they have been and will be subject
of an intensive experimental study at the LHC. Performing an assessment of the
theoretical implications of this experimental effort is the goal of the present
paper. We proceed by analyzing a set of simple benchmark models, characterized
by simple two-dimensional parameter spaces where the results of the searches
are conveniently visualized and their impact quantified. We only draw exclusion
contours, in the hypothesis of no signal, but of course our formalism could
equally well be used to report discoveries in a theoretically useful format.
