  We provide a comprehensive analysis of the power of including top
quark-polarisation information to kinematically challenging $t\bar t$ resonance
searches, for which ATLAS and CMS start losing sensitivity. Following the
general modeling and analysis strategies pursued by the experiments, we analyse
the semi-leptonic and the di-lepton $t\bar t$ channels and show that including
polarisation information can lead to large improvements in the limit setting
procedures with large data sets. This will allow us to set limits for parameter
choices where sensitivity from $m(t\bar t)$ is not sufficient. This highlights
the importance of spin observables as part of a more comprehensive set of
observables to gain sensitivity to BSM resonance searches.
