Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events

Debnath, Dipsikha; Gainer, James S.; Kilic, Can; Kim, Doojin; Matchev, Konstantin T.; Yang, Yuan-Pao

doi:10.1007/JHEP06(2017)092

Title: Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events

Abstract

We critically examine the classic endpoint method for particle mass determination, focusing on difficult corners of parameter space, where some of the measurements are not independent, while others are adversely affected by the experimental resolution. In such scenarios, mass differences can be measured relatively well, but the overall mass scale remains poorly constrained. Using the example of the standard SUSY decay chain q^~→χ^~⁰₂→ℓ^~→χ^~⁰₁ , we demonstrate that sensitivity to the remaining mass scale parameter can be recovered by measuring the two-dimensional kinematical boundary in the relevant three-dimensional phase space of invariant masses squared. We develop an algorithm for detecting this boundary, which uses the geometric properties of the Voronoi tessellation of the data, and in particular, the relative standard deviation (RSD) of the volumes of the neighbors for each Voronoi cell in the tessellation. We propose a new observable, Σ¯ , which is the average RSD per unit area, calculated over the hypothesized boundary. We show that the location of the Σ¯ maximum correlates very well with the true values of the new particle masses. Our approach represents the natural extension of the one-dimensional kinematic endpoint method to the relevant three dimensions of invariant mass phase space.

Authors:

Debnath, Dipsikha ^[1]; Gainer, James S. ^[2]; Kilic, Can ^[3]; Kim, Doojin ^[4]; Matchev, Konstantin T. ^[1]; Yang, Yuan-Pao ^[3]

Univ. of Florida, Gainesville, FL (United States). Physics Dept.
Univ. of Hawaii, Honolulu, HI (United States). Dept. of Physics and Astronomy
Univ. of Texas, Austin, TX (United States). Theory Group. Dept. of Physics. Texas Cosmology Center
Univ. of Florida, Gainesville, FL (United States). Physics Dept.; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division

Publication Date:: Mon Jun 19 00:00:00 EDT 2017

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); National Science Foundation (NSF); Korean Research Foundation (KRF)

OSTI Identifier:: 1424610

Grant/Contract Number:: SC0010296; SC0010504; PHY-1620610; PHY-0969510

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetry; phenomenology

Citation Formats


                    Debnath, Dipsikha, Gainer, James S., Kilic, Can, Kim, Doojin, Matchev, Konstantin T., and Yang, Yuan-Pao. Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events.  United States: N. p., 2017. 
        Web.  doi:10.1007/JHEP06(2017)092.

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                    Debnath, Dipsikha, Gainer, James S., Kilic, Can, Kim, Doojin, Matchev, Konstantin T., & Yang, Yuan-Pao. Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events.  United States.  https://doi.org/10.1007/JHEP06(2017)092

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                    Debnath, Dipsikha, Gainer, James S., Kilic, Can, Kim, Doojin, Matchev, Konstantin T., and Yang, Yuan-Pao. 2017.  
        "Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events".  United States.  https://doi.org/10.1007/JHEP06(2017)092.  https://www.osti.gov/servlets/purl/1424610.

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@article{osti_1424610,

  title        = {Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events},

  author       = {Debnath, Dipsikha and Gainer, James S. and Kilic, Can and Kim, Doojin and Matchev, Konstantin T. and Yang, Yuan-Pao},

  abstractNote = {We critically examine the classic endpoint method for particle mass determination, focusing on difficult corners of parameter space, where some of the measurements are not independent, while others are adversely affected by the experimental resolution. In such scenarios, mass differences can be measured relatively well, but the overall mass scale remains poorly constrained. Using the example of the standard SUSY decay chain q~→χ~02→ℓ~→χ~01 , we demonstrate that sensitivity to the remaining mass scale parameter can be recovered by measuring the two-dimensional kinematical boundary in the relevant three-dimensional phase space of invariant masses squared. We develop an algorithm for detecting this boundary, which uses the geometric properties of the Voronoi tessellation of the data, and in particular, the relative standard deviation (RSD) of the volumes of the neighbors for each Voronoi cell in the tessellation. We propose a new observable, Σ¯ , which is the average RSD per unit area, calculated over the hypothesized boundary. We show that the location of the Σ¯ maximum correlates very well with the true values of the new particle masses. Our approach represents the natural extension of the one-dimensional kinematic endpoint method to the relevant three dimensions of invariant mass phase space.},

  doi          = {10.1007/JHEP06(2017)092},

  url          = {https://www.osti.gov/biblio/1424610},
  journal      = {Journal of High Energy Physics (Online)},

  issn         = {1029-8479},

  number       = 6,

  volume       = 2017,

  place        = {United States},

  year         = {Mon Jun 19 00:00:00 EDT 2017},

  month        = {Mon Jun 19 00:00:00 EDT 2017}

}

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Works referencing / citing this record:

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Kinematic focus point method for particle mass measurements in missing energy events
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Dreaming awake: disentangling the underlying physics in case of a SUSY-like discovery at the LHC
journal, September 2019

Matchev, Konstantin T.; Moortgat, Filip; Pape, Luc
Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11
https://doi.org/10.1088/1361-6471/ab3bb8

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Title: Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events

Abstract

Citation Formats

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Measuring sparticle masses in non-universal string inspired models at the LHC journal, September 2000

Ordered kinematic endpoints for 5-body cascade decays journal, December 2016

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations journal, July 2014

Handling jets + missing E T channel using inclusive m T 2 journal, October 2008

One universal extra dimension in Pythia journal, January 2010

On-shell constrained M 2 variables with applications to mass measurements and topology disambiguation journal, August 2014

Neutralino reconstruction at the LHC from decay-frame kinematics journal, October 2010

Determining SUSY model parameters and masses at the LHC using cross-sections, kinematic edges and other observables. journal, January 2006

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

A short comparison between m T 2 and m CT journal, June 2008

Collider implications of universal extra dimensions journal, July 2002

TeV symmetry and the little hierarchy problem journal, September 2003

Precise reconstruction of sparticle masses without ambiguities journal, August 2009

m T Gen : mass scale measurements in pair-production at colliders journal, December 2007

Supersymmetric particle mass measurement with invariant mass correlations journal, April 2009

Bounds on universal extra dimensions journal, June 2001

Improving the sensitivity of stop searches with on-shell constrained invariant mass variables journal, May 2015

Measurement of masses in the $\mathrm{t}\overline{\mathrm{t}}$ system by kinematic endpoints in pp collisions at $\sqrt{s}=7\ \mathrm{TeV}$ journal, July 2013

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

A new method for resolving combinatorial ambiguities at hadron colliders journal, June 2011

Accurate mass determinations in decay chains with missing energy: II journal, August 2009

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

Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy journal, May 2009

Invariant mass distributions in cascade decays journal, March 2006

Discovery and measurement of sleptons, binos, and winos with a Z ′ journal, November 2007

Transverse Mass for Pairs of Gluinos journal, April 2008

Using energy peaks to measure new particle masses journal, November 2014

The quickhull algorithm for convex hulls journal, December 1996

Mass determination in SUSY-like events with missing energy journal, December 2007

Reconstructing particle masses from pairs of decay chains journal, June 2010

Revisiting combinatorial ambiguities at Hadron Colliders with M T2 journal, October 2011

Mass Determination in Cascade Decays Using Shape Formulas conference, January 2007

A review of the mass measurement techniques proposed for the Large Hadron Collider journal, November 2010

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

Identifying phase-space boundaries with Voronoi tessellations journal, November 2016

Dark matter particle spectroscopy at the LHC: generalizing M T2 to asymmetric event topologies journal, April 2010

Lepton energy asymmetry and precision supersymmetry study at hadron colliders journal, September 2000

Transverse masses and kinematic constraints: from the boundary to the crease journal, November 2009

Hunting for the top partner in the littlest Higgs model with T parity at the CERN LHC journal, March 2007

Edge detecting new physics the Voronoi way journal, May 2016

Reducing combinatorial uncertainties: a new technique based on M T2 variables journal, November 2011

OPTIMASS: a package for the minimization of kinematic mass functions with constraints journal, January 2016

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

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

Multidimensional phase space methods for mass measurements and decay topology determination journal, January 2017

Supersymmetric particle mass measurement with the boost-corrected contransverse mass journal, March 2010

Enhancing the discovery prospects for SUSY-like decays with a forgotten kinematic variable journal, May 2019

Kinematic focus point method for particle mass measurements in missing energy events journal, October 2019

Dreaming awake: disentangling the underlying physics in case of a SUSY-like discovery at the LHC journal, September 2019

A Supersymmetry Primer
book, April 2010

Minimal kinematic constraints and m _{T 2}
journal, December 2008

Mass determination in sequential particle decay chains
journal, September 2009

Inclusive transverse mass analysis for squark and gluino mass determination
journal, June 2008

Supersymmetric monojets at the Large Hadron Collider
journal, January 2011

Weighing wimps with kinks at colliders: invisible particle mass measurements from endpoints
journal, February 2008

A variable for measuring masses at hadron colliders when missing energy is expected; m _{T 2} : the truth behind the glamour
journal, September 2003

Phenomenology of mirror fermions in the littlest Higgs model with T-parity
journal, November 2006

A toolkit of the stop search via the chargino decay
journal, August 2013

Measuring sparticle masses in non-universal string inspired models at the LHC
journal, September 2000

Ordered kinematic endpoints for 5-body cascade decays
journal, December 2016

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
journal, July 2014

Handling jets + missing E _T channel using inclusive m _{T 2}
journal, October 2008

One universal extra dimension in Pythia
journal, January 2010

On-shell constrained M 2 variables with applications to mass measurements and topology disambiguation
journal, August 2014

Neutralino reconstruction at the LHC from decay-frame kinematics
journal, October 2010

Determining SUSY model parameters and masses at the LHC using cross-sections, kinematic edges and other observables.
journal, January 2006

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

A short comparison between m _{T 2} and m _CT
journal, June 2008

Collider implications of universal extra dimensions
journal, July 2002

TeV symmetry and the little hierarchy problem
journal, September 2003

Precise reconstruction of sparticle masses without ambiguities
journal, August 2009

m _{T Gen} : mass scale measurements in pair-production at colliders
journal, December 2007

Supersymmetric particle mass measurement with invariant mass correlations
journal, April 2009

Bounds on universal extra dimensions
journal, June 2001

Improving the sensitivity of stop searches with on-shell constrained invariant mass variables
journal, May 2015

Measurement of masses in the $\mathrm{t}\overline{\mathrm{t}}$ system by kinematic endpoints in pp collisions at $\sqrt{s}=7\ \mathrm{TeV}$
journal, July 2013

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

A new method for resolving combinatorial ambiguities at hadron colliders
journal, June 2011

Accurate mass determinations in decay chains with missing energy: II
journal, August 2009

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

Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy
journal, May 2009

Invariant mass distributions in cascade decays
journal, March 2006

Discovery and measurement of sleptons, binos, and winos with a Z ′
journal, November 2007

Transverse Mass for Pairs of Gluinos
journal, April 2008

Using energy peaks to measure new particle masses
journal, November 2014

The quickhull algorithm for convex hulls
journal, December 1996

Mass determination in SUSY-like events with missing energy
journal, December 2007

Reconstructing particle masses from pairs of decay chains
journal, June 2010

Revisiting combinatorial ambiguities at Hadron Colliders with M T2
journal, October 2011

Mass Determination in Cascade Decays Using Shape Formulas
conference, January 2007

A review of the mass measurement techniques proposed for the Large Hadron Collider
journal, November 2010

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

Identifying phase-space boundaries with Voronoi tessellations
journal, November 2016

Dark matter particle spectroscopy at the LHC: generalizing M T2 to asymmetric event topologies
journal, April 2010

Lepton energy asymmetry and precision supersymmetry study at hadron colliders
journal, September 2000

Transverse masses and kinematic constraints: from the boundary to the crease
journal, November 2009

Hunting for the top partner in the littlest Higgs model with $T$ parity at the CERN LHC
journal, March 2007

Edge detecting new physics the Voronoi way
journal, May 2016

Reducing combinatorial uncertainties: a new technique based on M T2 variables
journal, November 2011

OPTIMASS: a package for the minimization of kinematic mass functions with constraints
journal, January 2016

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

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

Multidimensional phase space methods for mass measurements and decay topology determination
journal, January 2017

Supersymmetric particle mass measurement with the boost-corrected contransverse mass
journal, March 2010

Enhancing the discovery prospects for SUSY-like decays with a forgotten kinematic variable
journal, May 2019

Kinematic focus point method for particle mass measurements in missing energy events
journal, October 2019

Dreaming awake: disentangling the underlying physics in case of a SUSY-like discovery at the LHC
journal, September 2019