  As we amass more LHC data, we continue to search for new and improved methods
of visualizing search results, in ways that are as model-independent as
possible. The simplified limits framework is an approach developed to recast
limits on searches for narrow resonances in terms of products of branching
ratios (BRs) corresponding to the resonance's production and decay modes. In
this work, we extend the simplified limits framework to a multidimensional
parameter space of BRs, which can be used to unfold an ambiguity in the
simplified parameter $\zeta$ introduced when more than one channel contributes
to the production of the resonance. It is also naturally applicable to
combining constraints from experimental searches with different observed final
states. Constraints can be visualized in a three-dimensional space of branching
ratios by employing ternary diagrams, triangle plots which utilize the inherent
unitarity of the sum of the resonance's BRs. To demonstrate this new
methodology, we recast constraints from recent ATLAS searches in diboson final
states for spin-0, 1, and 2 narrow resonances into constraints on the
resonance's width-to-mass ratio and display them in the space of relevant
branching ratios. We also demonstrate how to generalize the method to cases
where more than three branching ratios are relevant by using N-simplex
diagrams, and we suggest a broader application of the general method to digital
data sets.
