Identifying Phase Space Boundaries with Voronoi Tessellations

Abstract

Determining the masses of new physics particles appearing in decay chains is an important and longstanding problem in high energy phenomenology. Recently it has been shown that these mass measurements can be improved by utilizing the boundary of the allowed region in the fully differentiable phase space in its full dimensionality. Here we show that the practical challenge of identifying this boundary can be solved using techniques based on the geometric properties of the cells resulting from Voronoi tessellations of the relevant data. The robust detection of such phase space boundaries in the data could also be used to corroborate a new physics discovery based on a cut-and-count analysis.

48 pages, 23 figures, Journal-submitted version

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Cited by in corpus (8)

• Distribution of Cell Area in Bounded Poisson Voronoi Tessellations with Application to Secure Local Connectivity
• Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events
• Testing Invisible Momentum Ansatze in Missing Energy Events at the LHC
• Enhancing the discovery prospects for SUSY-like decays with a forgotten kinematic variable
• Singularity Variables for Missing Energy Event Kinematics
• Dreaming Awake: Disentangling the Underlying Physics in Case of a SUSY-like Discovery at the LHC
• Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations
• Applying Machine Learning Techniques To Intermediate-Length Cascade Decays