  In theories with a warped extra dimension, composite fermions, as e.g. the
right-handed top quark, can be very strongly coupled to Kaluza-Klein (KK)
fields. In particular, the KK gluons in the presence of such composite fields
become very broad resonances, thus remarkably modifying their experimental
signatures. We have computed the pole mass and the pole width of the KK gluon,
triggered by its interaction with quarks, as well as the prediction for
proton-proton cross-sections using the full propagator and compared it with
that obtained from the usual Breit-Wigner approximation. We compare both
approaches, along with the existing experimental data from ATLAS and CMS, for
the $t\bar t$, $t\bar t W$, $t\bar t Z$, $t\bar t H$, and $t\bar t t\bar t$
channels. We have found differences between the two approaches of up to about
100%, highlighting that the effect of broad resonances can be dramatic on
present, and mainly future, experimental searches. The channel $t\bar t t\bar
t$ is particularly promising because the size of the cross-section signal is of
the same order of magnitude as the Standard Model prediction, and future
experimental analyses in this channel, especially for broad resonances, can
shed light on the nature of possible physics beyond the Standard Model.
