CERN Accelerating science

Article
Report number	arXiv:2006.06582
Title	Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations
Author(s)	Matchev, Konstantin T. (Florida U., Inst. Fund. Theor.) ; Roman, Alexander (Florida U., Inst. Fund. Theor.) ; Shyamsundar, Prasanth (Florida U., Inst. Fund. Theor.)
Publication	2020-12-21
Imprint	2020-06-08
Number of pages	54
Note	54 pages. New figure 13 and appendix A added. Conclusions unchanged. Matches published version
In:	JHEP 2012 (2020) 137
DOI	10.1007/JHEP12(2020)137 (publication)
Subject category	physics.data-an ; Other Fields of Physics ; physics.comp-ph ; Other Fields of Physics ; hep-ex ; Particle Physics - Experiment ; hep-ph ; Particle Physics - Phenomenology
Accelerator/Facility, Experiment	CERN LHC
Abstract	We address the problem of finding a wombling boundary in point data generated by a general Poisson point process, a specific example of which is an LHC event sample distributed in the phase space of a final state signature, with the wombling boundary created by some new physics. We discuss the use of Voronoi and Delaunay tessellations of the point data for estimating the local gradients and investigate methods for sharpening the boundaries by reducing the statistical noise. The outcome from traditional wombling algorithms is a set of boundary cell candidates with relatively large gradients, whose spatial properties must then be scrutinized in order to construct the boundary and evaluate its significance. Here we propose an alternative approach where we simultaneously form and evaluate the significance of all possible boundaries in terms of the total gradient flux. We illustrate our method with several toy examples of both straight and curved boundaries with varying amounts of signal present in the data.
Copyright/License	publication: © 2020-2024 The Author(s) preprint: (License: arXiv nonexclusive-distrib 1.0)

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