Edge Detecting New Physics the Voronoi Way
2015
We point out that interesting features in high energy physics data can be determined from properties of Voronoi
tessellationsof the relevant phase space. For illustration, we focus on the detection of kinematic "edges" in two dimensions, which may signal
physics beyondthe
standard model. After deriving some useful geometric results for Voronoi
tessellationson perfect grids, we propose several algorithms for tagging the Voronoi cells in the vicinity of kinematic edges in real data. We show that the efficiency is improved by the addition of a few Voronoi relaxation steps via Lloyd's method. By preserving the maximum spatial resolution of the data, Voronoi methods can be a valuable addition to the data analysis toolkit at the LHC.
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