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Title: Identifying phase-space boundaries with Voronoi tessellations

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 differentiable phase space in its full dimensionality. Here in this paper 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.
Authors:
 [1] ;  [2] ;  [3] ; ORCiD logo [4] ;  [1] ;  [3]
  1. Univ. of Florida, Gainesville, FL (United States). Dept. of Physics
  2. Univ. of Hawaii, Honolulu, HI (United States). Dept. of Physics and Astronomy
  3. Univ. of Texas, Austin, TX (United States). Texas Cosmology Center, Dept. of Physics
  4. Univ. of Florida, Gainesville, FL (United States). Dept. of Physics; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
Publication Date:
OSTI Identifier:
1333425
Grant/Contract Number:
SC0010296; SC0010504; PHY-1315983; PHY-1316033; NSF-PHY-0969510
Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 11; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Univ. of Florida, Gainesville, FL (United States); Univ. of Hawaii, Honolulu, HI (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS