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We demonstrate that a purposefully normalised NNLO top pair invariant massdifferential spectrum can have very small theoretical uncertainty and, inparticular, a small sensitivity to the top quark mass. Such observable can thusbe a very effective bump-hunting tool for resonances decaying to top pairevents during LHC Run II and beyond. To illustrate how the approach works, weconcentrate on one specific example of current interest, namely, the possible750 GeV di-gamma excess resonance Phi. Considering only theoreticaluncertainties, we demonstrate that it is possible to distinguish pp -> Phi ->tt signals studied in the recent literature [Hespel, Maltoni and Vryonidou,arXiv:1606.04149] from the pure SM background with very high significance.Alternatively, in case of non-observation, a strong upper limit on the decayrate Phi -> tt can be placed.

Bump-hunting in LHC ttbar events