  We introduce a simplified low-energy effective Lagrangian description of the
phenomenology of heavy vector resonances in the minimal composite Higgs model,
based on the coset SO(5)/SO(4), analysing in detail their interaction with
lighter top partners. Our construction is based on robust assumptions on the
symmetry structure of the theory and on plausible natural assumptions on its
dynamics. We apply our simplified approach to triplets in the representations
(3, 1) and (1, 3) and to singlets in the representation (1, 1) of SO(4). Our
model captures the basic features of their phenomenology in terms of a minimal
set of free parameters and can be efficiently used as a benchmark in the search
for heavy spin-1 states at the LHC and at future colliders. We devise an
efficient semi-analytic method to convert experimental limits on {\sigma}
{\times} BR into bounds on the free parameters of the theory and we recast the
presently available 8 TeV LHC data on experimental searches of spin-1
resonances as exclusion regions in the parameter space of the models. These
latter are conveniently interpreted as a test of the notion of naturalness.
