Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays
Abstract
The classic method for mass determination in a SUSY-like cascade decay chain relies on measurements of the kinematic endpoints in the invariant mass distributions of suitable collections of visible decay products. However, the procedure is complicated by combinatorial ambiguities: e.g., the visible final state particles may be indistinguishable (as in the case of QCD jets), or one may not know the exact order in which they are emitted along the decay chain. In order to avoid such combinatorial ambiguities, we propose to treat the nal state particles fully democratically and consider the sorted set of the invariant masses of all possible partitions of the visible particles in the decay chain. In particular, for a decay to N visible particles, one considers the sorted sets of all possible n-body invariant mass combinations (2≤ n≤ N) and determines the kinematic endpoint m(n,r)max of the distribution of the r-th largest n-body invariant mass m(n,r) for each possible value of n and r. For the classic example of a squark decay in supersymmetry, we provide analytical formulas for the interpretation of these endpoints in terms of the underlying physical masses. We point out that these measurements can be used to determine the structure ofmore »
- Authors:
-
- Univ. of Florida, Gainesville, FL (United States). Physics Dept.
- Inst. of Basic Science, Daejeon (Korea, Republic of). Center for Theoretical Physics of the Universe
- Publication Date:
- Research Org.:
- Univ. of Florida, Gainesville, FL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1327246
- Grant/Contract Number:
- SC0010296; PHY-0969510
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 2; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Deep Inelastic Scattering (Phenomenology)
Citation Formats
Kim, Doojin, Matchev, Konstantin T., and Park, Myeonghun. Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays. United States: N. p., 2016.
Web. doi:10.1007/JHEP02(2016)129.
Kim, Doojin, Matchev, Konstantin T., & Park, Myeonghun. Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays. United States. https://doi.org/10.1007/JHEP02(2016)129
Kim, Doojin, Matchev, Konstantin T., and Park, Myeonghun. Fri .
"Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays". United States. https://doi.org/10.1007/JHEP02(2016)129. https://www.osti.gov/servlets/purl/1327246.
@article{osti_1327246,
title = {Using sorted invariant mass variables to evade combinatorial ambiguities in cascade decays},
author = {Kim, Doojin and Matchev, Konstantin T. and Park, Myeonghun},
abstractNote = {The classic method for mass determination in a SUSY-like cascade decay chain relies on measurements of the kinematic endpoints in the invariant mass distributions of suitable collections of visible decay products. However, the procedure is complicated by combinatorial ambiguities: e.g., the visible final state particles may be indistinguishable (as in the case of QCD jets), or one may not know the exact order in which they are emitted along the decay chain. In order to avoid such combinatorial ambiguities, we propose to treat the nal state particles fully democratically and consider the sorted set of the invariant masses of all possible partitions of the visible particles in the decay chain. In particular, for a decay to N visible particles, one considers the sorted sets of all possible n-body invariant mass combinations (2≤ n≤ N) and determines the kinematic endpoint m(n,r)max of the distribution of the r-th largest n-body invariant mass m(n,r) for each possible value of n and r. For the classic example of a squark decay in supersymmetry, we provide analytical formulas for the interpretation of these endpoints in terms of the underlying physical masses. We point out that these measurements can be used to determine the structure of the decay topology, e.g., the number and position of intermediate on-shell resonances.},
doi = {10.1007/JHEP02(2016)129},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2016,
place = {United States},
year = {Fri Feb 19 00:00:00 EST 2016},
month = {Fri Feb 19 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Study of the Mass and Spin-Parity of the Higgs Boson Candidate via Its Decays to Boson Pairs
journal, February 2013
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physical Review Letters, Vol. 110, Issue 8
Evidence for the spin-0 nature of the Higgs boson using ATLAS data
journal, October 2013
- Aad, G.; Abajyan, T.; Abbott, B.
- Physics Letters B, Vol. 726, Issue 1-3
Measurement of the properties of a Higgs boson in the four-lepton final state
journal, May 2014
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physical Review D, Vol. 89, Issue 9
Production and decay of neutralinos in e+e− annihilation
journal, December 1986
- Bartl, A.; Fraas, H.; Majerotto, W.
- Nuclear Physics B, Vol. 278, Issue 1
Lower Limit on Dark Matter Production at the CERN Large Hadron Collider
journal, April 2006
- Feng, Jonathan L.; Su, Shufang; Takayama, Fumihiro
- Physical Review Letters, Vol. 96, Issue 15
A review of the mass measurement techniques proposed for the Large Hadron Collider
journal, November 2010
- Barr, Alan J.; Lester, Christopher G.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 12
A Review of spin Determination at the lhc
journal, November 2008
- Wang, Lian-Tao; Yavin, Itay
- International Journal of Modern Physics A, Vol. 23, Issue 29
Measuring sparticle masses in non-universal string inspired models at the LHC
journal, September 2000
- Allanach, Ben C.; Lester, Christopher Gorham; Parker, M. Andy
- Journal of High Energy Physics, Vol. 2000, Issue 09
Measurement of SUSY Masses via Cascade Decays for SPS 1a
journal, December 2004
- Gjelsten, B. K.; Miller, D. J.; Osland, P.
- Journal of High Energy Physics, Vol. 2004, Issue 12
Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy
journal, May 2009
- Burns, Michael; Matchev, Konstantin T.; Park, Myeonghun
- Journal of High Energy Physics, Vol. 2009, Issue 05
A new method for resolving combinatorial ambiguities at hadron colliders
journal, June 2011
- Rajaraman, Arvind; Yu, Felix
- Physics Letters B, Vol. 700, Issue 2
Identifying dark matter event topologies at the LHC
journal, June 2011
- Bai, Yang; Cheng, Hsin-Chia
- Journal of High Energy Physics, Vol. 2011, Issue 6
Revisiting combinatorial ambiguities at Hadron Colliders with M T2
journal, October 2011
- Baringer, Philip; Kong, Kyoungchul; McCaskey, Mathew
- Journal of High Energy Physics, Vol. 2011, Issue 10
Reducing combinatorial uncertainties: a new technique based on M T2 variables
journal, November 2011
- Choi, Kiwoon; Guadagnoli, Diego; Park, Chan Beom
- Journal of High Energy Physics, Vol. 2011, Issue 11
Precise reconstruction of sparticle masses without ambiguities
journal, August 2009
- Matchev, Konstantin T.; Moortgat, Filip; Pape, Luc
- Journal of High Energy Physics, Vol. 2009, Issue 08
Probing Resonance Decays to Two Visible and Multiple Invisible Particles
journal, May 2014
- Cho, Won Sang; Kim, Doojin; Matchev, Konstantin T.
- Physical Review Letters, Vol. 112, Issue 21
Supersymmetric particle mass measurement with invariant mass correlations
journal, April 2009
- Costanzo, Davide; Tovey, Daniel R.
- Journal of High Energy Physics, Vol. 2009, Issue 04
Three body kinematic endpoints in SUSY models with non-universal Higgs masses
journal, October 2007
- Lester, Christopher G.; Parker, Michael Andy; White, Martin J.
- Journal of High Energy Physics, Vol. 2007, Issue 10
Using subsystem M T 2 for complete mass determinations in decay chains with missing energy at hadron colliders
journal, March 2009
- Burns, Michael; Kong, Kyoungchul; Matchev, Konstantin T.
- Journal of High Energy Physics, Vol. 2009, Issue 03
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
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- The European Physical Journal C, Vol. 73, Issue 7
Works referencing / citing this record:
Enhancing the discovery prospects for SUSY-like decays with a forgotten kinematic variable
journal, May 2019
- Debnath, Dipsikha; Gainer, James S.; Kilic, Can
- Journal of High Energy Physics, Vol. 2019, Issue 5
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