  We present an effective description of a spin two massive state and a pseudo
Nambu-Goldstone boson Higgs in a two site model. Using this framework we model
the spin two state as a massive graviton and we study its phenomenology at the
LHC. We find that a reduced set of parameters can describe the most important
features of this scenario. We address the question of which channel is the most
sensitive to detect this graviton. Instead of designing search strategies to
estimate the significance in each channel, we compare the ratio of our
theoretical predictions to the limits set by available experimental searches
for all the decay channels and as a function of the free parameters in the
model. We discuss the phenomenological details contained in the outcome of this
simple procedure. The results indicate that, for the studied masses between 0.5
and 3 TeV, the channels to look for such a graviton resonance are mainly $ZZ$,
$WW$ and $\gamma\gamma$. This is the case even though top and bottom quarks
dominate the branching ratios, since their experimental sensitivity is not as
good as the one of the electro-weak gauge bosons. We find that as the graviton
mass increases, the $ZZ$ and $WW$ channels become more important because of its
relatively better enhancement over background, mainly due to fat jet
techniques. We determine the region of the parameter space that has already
been excluded and the reach for the LHC next stages. We also estimate the size
of the loop-induced contributions to the production and decay of the graviton,
and show in which region of the parameter space their effects are relevant for
our analysis.
