Discovering New Physics with Voronoi Tessellations
High energy experimental data can be viewed as a sampling of the relevant phase space. 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 pr...
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
09.11.2015
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Subjects | |
Online Access | Get full text |
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Summary: | High energy experimental data can be viewed as a sampling of the relevant
phase space. 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. |
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DOI: | 10.48550/arxiv.1511.02724 |