  Torsion models constitute a well known class of extended quantum gravity
models. In this work, one investigates the phenomenological consequences of a
torsion field interacting with top quarks at the LHC. A torsion field could
appear as a new heavy state characterized by its mass and couplings to
fermions. This new state would form a resonance decaying into a top anti-top
pair. The latest ATLAS $t\bar t$ production results from LHC 13 TeV data are
used to set limits on torsion parameters. The integrated luminosity needed to
observe torsion resonance at the next LHC upgrades are also evaluated,
considering different values for the torsion mass and its couplings to Standard
Model fermions. Finally, prospects for torsion exclusion at the future LHC
phases II and III are obtained using fast detector simulations.
