Discovering New Physics with Voronoi Tessellations
arXiv:1511.02724
Abstract
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.
6 pages, 6 figures, proceedings prepared for LHCP 2015
References in corpus (7)
- Gluino Stransverse Mass
- Measuring superparticle masses at hadron collider using the transverse mass kink
- Using Subsystem MT2 for Complete Mass Determinations in Decay Chains with Missing Energy at Hadron Colliders
- Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy
- Precise reconstruction of sparticle masses without ambiguities
- Improved mass measurement using the boundary of many-body phase space
- Discoveries far from the Lamppost with Matrix Elements and Ranking