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Scalar particles $S$ which are gauge singlets under the Standard Model aregeneric features of many models of fundamental physics, in particular aspossible mediators to a hidden or dark sector. We show that the decay $S\to Zh$provides a powerful probe of the CP nature of the scalar, because it is allowedonly if $S$ has CP-odd interactions. We perform a model-independent analysis ofthis decay in the context of an effective Lagrangian and compute the relevantWilson coefficients arising from integrating out heavy fermions to one-looporder. We illustrate our findings with the example of the 750 GeV diphotonresonance seen by ATLAS and CMS and show that the $S\to Zh$ decay rate couldnaturally be of similar magnitude or larger than the diphoton rate.

The "forgotten" decay S -> Z+h as a CP analyzer