Abstract
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.
Highlights
Narrow resonance searches have long been a staple of experimental efforts to identify or constrain new physics beyond the standard model (BSM)
We 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 datasets
III, we introduced a means of extending searches for narrow resonances into the multidimensional parameter space of branching ratios (BRs), focusing on situations where only three BRs were of greatest importance: either two production modes and one primary decay mode, or one production mode and a pair of experimentally distinguishable final states
Summary
Narrow resonance searches have long been a staple of experimental efforts to identify or constrain new physics beyond the standard model (BSM). [1,2], the authors explored recasting these model-independent constraints in terms of a simplified parameter, ζ, which depends only on the product of the branching ratios and the ratio of the resonance width to its mass. We extend the concept of simplified limits, demonstrating a methodology by which one may display constraints on the masses or widths of narrow resonances within the parameter space of up to three BRs without introducing new sources of model dependence. This method can be applied to single-channel searches where the production of a BSM resonance is predicted to receive contributions from multiple channels. VI and highlight the value of using the digital data record to enable exploration of an arbirtrary-dimensional parameter space of branching ratios
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