Discovering New Physics with Voronoi Tessellations

Other · Mon Nov 09 00:00:00 EST 2015 · arXiv.org Repository

OSTI ID:1598649

Debnath, Dipsikha ^[1]; Gainer, James ^[2]; Kim, Doojin ^[1]; Matchev, Konstantin ^[1]

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1. Univ. of Florida, Gainesville, FL (United States)
2. Univ. of Hawaii, Honolulu, HI (United States)

High energy experimental data can be viewed as a sampling of the relevant phase space. In this study, we point out that one can apply Voronoi tessellations in order to understand the underlying probability distributions in this phase space. Interesting features in the data can then be discovered by studying the properties of the ensemble of Voronoi cells. For illustration, we demonstrate the detection of kinematic "edges" in two dimensions, which may signal physics beyond the standard model. We motivate the algorithm with some analytical results derived for perfect lattices, and show that the method is further improved with the addition of a few Voronoi relaxation steps via Lloyd's method

• Research Organization: Univ. of Hawaii, Honolulu, HI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• DOE Contract Number: SC0010504
• OSTI ID: 1598649
• Journal Information: arXiv.org Repository, Vol. 2015; Related Information: arXiv preprint, see arXiv:1511.02724; ISSN 9999-0017
• Publisher: Cornell University
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS