CERN Accelerating science

Article
Report number	arXiv:1606.02721 ; UTTG-04-16 ; UH511-1256-2015 ; UTTG-04-16 ; UH511-1256-2015
Title	Identifying Phase Space Boundaries with Voronoi Tessellations
Author(s)	Debnath, Dipsikha (Florida U.) ; Gainer, James S. (Hawaii U.) ; Kilic, Can (Texas U. ; Texas U., TCC) ; Kim, Doojin (Florida U. ; CERN) ; Matchev, Konstantin T. (Florida U.) ; Yang, Yuan-Pao (Texas U. ; Texas U., TCC)
Publication	2016-11-24
Imprint	08 Jun 2016
Number of pages	44
Note	Comments: 43 pages, 21 figures 48 pages, 23 figures, Journal-submitted version
In:	Eur. Phys. J. C 76 (2016) 645
DOI	10.1140/epjc/s10052-016-4431-z
Subject category	Particle Physics - Phenomenology ; Particle Physics - Experiment ; Particle Physics - Phenomenology
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.
Copyright/License	arXiv nonexclusive-distrib. 1.0

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