Narrow Resonances Revisited -- Simplifying Multidimensional Constraints

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.

arXiv comment20 pages, 9 figures

References in corpus (24)

• A Large Mass Hierarchy from a Small Extra Dimension
• Asymptotic formulae for likelihood-based tests of new physics
• Modulus Stabilization with Bulk Fields
• CalcHEP 3.4 for collider physics within and beyond the Standard Model
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• Little Higgs Review
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Z-prime Gauge Bosons at the Tevatron
• Composite Higgses
• Warped Gravitons at the LHC and Beyond
• General Composite Higgs Models
• Heavy Vector Triplets: Bridging Theory and Data
• HEPData: a repository for high energy physics data
• Combination of searches for heavy resonances decaying into bosonic and leptonic final states using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for heavy diboson resonances in semileptonic final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Combining searches of Z' and W' bosons
• Search for diboson resonances in hadronic final states in 139 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• A multi-dimensional search for new heavy resonances decaying to boosted WW, WZ, or ZZ boson pairs in the dijet final state at 13 TeV
• Search for resonances decaying into a weak vector boson and a Higgs boson in the fully hadronic final state produced in proton$-$proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• QCD Signatures of Narrow Graviton Resonances in Hadron Colliders
• Randall-Sundrum Reality at the LHC
• Combination of CMS searches for heavy resonances decaying to pairs of bosons or leptons
• Broadening the Reach of Simplified Limits on Resonances at the LHC
• Simplified Limits on Resonances at the LHC

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