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Decay-time-dependent $CP$-violation effects in transitions of neutral $B$mesons to $CP$-eigenstates can be visualised by oscillations in the asymmetry,as a function of decay time, between decay yields from mesons tagged asinitially having $\overline{B}$ or $B$ flavour. Such images, for example for$B^0 \to J/\psi K^0_{\rm S}$ decays where the magnitude of the oscillation isproportional to $\sin(2\beta)$ with $\beta$ being an angle of theCabibbo--Kobayashi--Maskawa Unitarity Triangle, provide a straightforwardillustration of the underlying physics. Until now there has been no comparablemethod to provide visualisation for the case of decays to multibody finalstates that are not $CP$-eigenstates, where interference between $CP$-even and-odd amplitudes provides additional physics sensitivity. A method is proposedto weight the data so that the terms of interest can be projected out and usedto obtain asymmetries that visualise the relevant effects. Application of theweighting to $B^0_s$ decays, where effects due to non-zero width difference arenot negligible, provides a novel method to observe $CP$ violation ininterference between mixing and decay without tagging the production flavour.

Visualisation of $CP$-violation effects in decay-time-dependent analyses of multibody $B$-meson decays