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Identifying Phase Space Boundaries with Voronoi Tessellations

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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 dierentiable 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.


Dipsikha Debnath is a graduate student in the Department of Physics and an UF II fellow. She works to develop new analysis techniques that will translate the large data sets describing particle collisions at the CERN Large Hadron Collider (LHC) into discoveries that will transform our understanding of the fundamental laws that govern the universe. In this she takes an interdisciplinary approach, combining techniques from statistics and applied mathematics, in particular computational geometry, to provide tools for ground-breaking discoveries in elementary particle physics. The LHC is the world’s most powerful particle collider, which produces incredibly large amounts of data – millions of proton-proton collisions every second. The LHC detectors record only a tiny fraction of these collisions, yet this still amounts to 15 petabytes (15,000,000 gigabytes) of collected data every year. Each recorded event is quite complex, and contains hundreds of particles in the final state. As a “collider phenomenologist”, i.e., a particle theorist who studies new physics signatures at colliders, she uses intensive computational simulation and design complex data analysis techniques that makes it possible to learn fundamental lessons about the nature of our physical world and universe at the LHC. Dipsikha’s homepage: and Inspire profile:

Lunch will be available prior to talk (11:30AM)


Fellows Journal Club meet in E252 CSE Building