Unitarization of $R+\alpha R^2$ gravity

We make use of the improved $K$-matrix algorithm to obtain unitarized amplitudes in $R+\alpha R^2$ gravity. The procedure is of some complexity because infrared divergences are present and need to be properly regulated. We focus on the behaviour of a bona fide scalar resonance, known to exist in this model, and compare it to an apparent resonance detected in previous studies, thus confirming that the latter seems to be an artifact due to the introduction of the infrared regulator. We analyze the existence of other dynamical resonances and dwell on the amplitudes made unitary by this procedure.