skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Identifying phase-space boundaries with Voronoi tessellations

Journal Article · · European Physical Journal. C, Particles and Fields

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.

Research Organization:
Univ. of Florida, Gainesville, FL (United States); Univ. of Hawaii, Honolulu, HI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0010296; SC0010504; PHY-1315983; PHY-1316033; NSF-PHY-0969510
OSTI ID:
1333425
Alternate ID(s):
OSTI ID: 1368081
Journal Information:
European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 76 Journal Issue: 11; ISSN 1434-6044
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Germany
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (97)

RECO level $ {\sqrt {s}_{\min }} $ and subsystem improved $ {\sqrt {s}_{\min }} $ : global inclusive variables for measuring the new physics mass scale in events at hadron colliders journal June 2011
Mass determination in sequential particle decay chains journal September 2009
Inclusive transverse mass analysis for squark and gluino mass determination journal June 2008
Kinematic cusps with two missing particles. II. Cascade decay topology journal February 2013
M T 2 -assisted on-shell reconstruction of missing momenta and its application to spin measurement at the LHC journal February 2009
Re-interpreting the Oxbridge stransverse mass variable M T2 in general cases journal March 2013
Weighing wimps with kinks at colliders: invisible particle mass measurements from endpoints journal February 2008
Kinematic cusps with two missing particles. I. Antler decay topology journal February 2013
A variable for measuring masses at hadron colliders when missing energy is expected; m T 2 : the truth behind the glamour journal September 2003
Measuring sparticle masses in non-universal string inspired models at the LHC journal September 2000
A toolkit of the stop search via the chargino decay journal August 2013
FastJet user manual: (for version 3.0.2) journal March 2012
Neutralino reconstruction at the LHC from decay-frame kinematics journal October 2010
Kinematic cusps: Determining the missing particle mass at colliders journal October 2010
The basic structures of Voronoi and generalized Voronoi polygons journal January 1982
Finding galaxy clusters using Voronoi tessellations journal March 2001
Superpartner Mass Measurement Technique using 1D Orthogonal Decompositions of the Cambridge Transverse Mass Variable M T 2 journal July 2010
Improving the sensitivity of stop searches with on-shell constrained invariant mass variables journal May 2015
Crystalline order on Riemannian manifolds with variable Gaussian curvature and boundary journal August 2007
Measurement of SUSY Masses via Cascade Decays for SPS 1a journal December 2004
Measurements in gauge mediated SUSY breaking models at the CERN LHC journal October 1999
Constrained invariant mass distributions in cascade decays. The shape of the “<mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>q</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:math>-threshold” and similar distributions journal October 2007
Thiessen polygons as a model for animal territory estimation journal October 2013
Probing Resonance Decays to Two Visible and Multiple Invisible Particles journal May 2014
Missing momentum reconstruction and spin measurements at hadron colliders journal November 2010
Measuring superparticle masses at hadron collider using the transverse mass kink journal February 2008
Model-independent and quasi-model-independent search for new physics at CDF journal July 2008
Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy journal May 2009
Improved mass measurement using the boundary of many-body phase space journal January 2014
Invariant mass distributions in cascade decays journal March 2006
Algebraic Singularity Method for Mass Measurements with Missing Energy journal February 2010
Measurements of masses in supergravity models at CERN LHC journal May 2000
Reconstructing the Higgs boson in dileptonic W decays at hadron colliders journal October 2009
Using energy peaks to measure new particle masses journal November 2014
Automation of the matrix element reweighting method journal December 2010
Measuring Sparticles with the Matrix Element
  • Alwall, Johan; Freitas, Ayres; Mattelaer, Olivier
  • SUSY09: 7th International Conference on Supersymmetry and the Unification of Fundamental Interactions, AIP Conference Proceedings https://doi.org/10.1063/1.3327611
conference January 2010
Mass determination in SUSY-like events with missing energy journal December 2007
Reconstructing particle masses from pairs of decay chains journal June 2010
A review of the mass measurement techniques proposed for the Large Hadron Collider journal November 2010
Adaptive spatial binning of integral-field spectroscopic data using Voronoi tessellations journal June 2003
On measuring the masses of pair-produced semi-invisibly decaying particles at hadron colliders journal April 2008
Study of the top reconstruction in top-partner events at the LHC journal October 2008
Global search for new physics with 2.0 fb 1 at CDF journal January 2009
Transverse masses and kinematic constraints: from the boundary to the crease journal November 2009
Mass reconstruction with M 2 under constraint in semi-invisible production at a hadron collider journal January 2016
Edge detecting new physics the Voronoi way journal May 2016
OPTIMASS: a package for the minimization of kinematic mass functions with constraints journal January 2016
Precision superpartner spectroscopy in the inclusive same-sign dilepton channel at the LHC journal October 2010
Guide to transverse projections and mass-constraining variables journal November 2011
Transverse observables and mass determination at hadron colliders journal February 2008
Accurate Mass Determinations in Decay Chains with Missing Energy journal June 2008
Using subsystem M T 2 for complete mass determinations in decay chains with missing energy at hadron colliders journal March 2009
Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process journal April 1980
Physical Regions in Invariant Variables for n Particles and the Phase-Space Volume Element journal April 1964
Minimal kinematic constraints and m T 2 journal December 2008
Precision determination of invisible-particle masses at the CERN LHC journal September 2008
Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier mémoire. Sur quelques propriétés des formes quadratiques positives parfaites. journal January 1908
MadGraph 5: going beyond journal June 2011
Review of Particle Physics journal August 2014
Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays journal February 2016
Handling jets + missing E T channel using inclusive m T 2 journal October 2008
On-shell constrained M 2 variables with applications to mass measurements and topology disambiguation journal August 2014
Random geometry and the statistics of two-dimensional cells journal May 1984
Determining SUSY model parameters and masses at the LHC using cross-sections, kinematic edges and other observables. journal January 2006
Mass measurement in boosted decay chains with missing energy journal August 2011
Mass determination of new states at hadron colliders journal July 2008
Measuring masses of semi-invisibly decaying particle pairs produced at hadron colliders journal September 1999
Precision determination of invisible-particle masses at the CERN LHC. II. journal April 2009
General Method for Determining the Masses of Semi-Invisibly Decaying Particles at Hadron Colliders journal August 2011
Decay and polarization properties of the top quark journal March 1992
A short comparison between m T 2 and m CT journal June 2008
TeV symmetry and the little hierarchy problem journal September 2003
New supersymmetry mass reconstruction method at the CERN LHC journal February 2005
Precision SUSY measurements at CERN LHC journal May 1997
Precise reconstruction of sparticle masses without ambiguities journal August 2009
Controlling initial state radiation in sparticle mass reconstruction journal December 2010
m T Gen : mass scale measurements in pair-production at colliders journal December 2007
The matrix element method and its application to measurements of the top quark mass
  • Fiedler, Frank; Grohsjean, Alexander; Haefner, Petra
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 624, Issue 1 https://doi.org/10.1016/j.nima.2010.09.024
journal December 2010
Supersymmetric particle mass measurement with invariant mass correlations journal April 2009
Bounds on universal extra dimensions journal June 2001
Energy spectra of massive two-body decay products and mass measurement journal April 2016
Polynomials, Riemann surfaces, and reconstructing missing-energy events journal September 2011
$ {\sqrt {{\widehat{s}}}_{\min }} $ resurrected journal February 2012
Accurate mass determinations in decay chains with missing energy: II journal August 2009
root_s_hat_min: a global inclusive variable for determining the mass scale of new physics in events with missing energy at hadron colliders journal March 2009
Discovery and measurement of sleptons, binos, and winos with a Z journal November 2007
Transverse Mass for Pairs of Gluinos journal April 2008
Simple “invariance” of two-body decay kinematics journal September 2013
Dark matter particle spectroscopy at the LHC: generalizing M T2 to asymmetric event topologies journal April 2010
Quasi-Model-Independent Search for New High p T Physics at D0 journal April 2001
Mass measurement using energy spectra in three-body decays journal May 2016
Measurement of the gluino mass via cascade decays for SPS 1a journal June 2005
Dynamical Likelihood Method for Reconstruction of Events with Missing Momentum. I. Method and Toy Models journal December 1988
Amplification of endpoint structure for new particle mass measurement at the LHC journal May 2010
Matrix element method and QCD radiation journal April 2011
Search for new physics in e μ X data at DØ using SLEUTH: A quasi-model-independent search strategy for new physics journal October 2000
Supersymmetric particle mass measurement with the boost-corrected contransverse mass journal March 2010

Similar Records

Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events
Journal Article · Mon Jun 19 00:00:00 EDT 2017 · Journal of High Energy Physics (Online) · OSTI ID:1333425

Finding wombling boundaries in LHC data with Voronoi and Delaunay tessellations
Journal Article · Mon Dec 21 00:00:00 EST 2020 · Journal of High Energy Physics (Online) · OSTI ID:1333425

Discovering New Physics with Voronoi Tessellations
Other · Mon Nov 09 00:00:00 EST 2015 · arXiv.org Repository · OSTI ID:1333425