  Using an effective field theory approach for higher-spin fields, we derive
the interactions of colour singlet and electrically neutral particles with a
spin higher than unity, concentrating on the spin-3/2, spin-2, spin-5/2 and
spin-3 cases. We compute the decay rates and production cross sections in the
main channels for spin-3/2 and spin-2 states at both electron-positron and
hadron colliders, and identify the most promising novel experimental signatures
for discovering such particles at the LHC. The discussion is qualitatively
extended to the spin-5/2 and spin-3 cases. Higher-spin particles exhibit a rich
phenomenology and have signatures that often resemble the ones of
supersymmetric and extra-dimensional theories. To enable further studies of
higher-spin particles at collider and beyond, we collect the relevant Feynman
rules and other technical details.
