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The recently observed diphoton anomaly at the LHC appears to suggest thepresence of a rather broad resonance. In this note, it is pointed out that thisdoes not hold if the two photons are produced along with an extra state.Specifically, the diphoton invariant mass arising from various $A \toB\gamma\gamma$ processes, with $A,B$ being scalars, fermions, or vectors,though peaked at a rather large value, would naturally be broad and could fitrather well the observed deviations. This interpretation has a number ofadvantages over the two-photon resonance hypothesis, for example with respectto the compatibility with the 8 TeV diphoton, dilepton or dijet searches, andopens many new routes for New Physics model construction.

Could the width of the diphoton anomaly signal a three-body decay ?