Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology Determination

Baris Altunkaynak; Can Kilic; Matthew D. Klimek

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Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology Determination

Baris Altunkaynak, Can Kilic, Matthew D. Klimek

High Energy Physics - Phenomenology · Submitted 29 Nov 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We extend these results to cascade decays with four visible and one invisible particles.

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arXiv ID1611.09764 (version 2)

Pith IDJMZ55TTA, Pith's permanent record of this paper and its review

CitationBaris Altunkaynak, Can Kilic, Matthew D. Klimek. "Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology Determination." arXiv:1611.09764 (2016). https://pith.science/paper/JMZ55TTA

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,213 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.89 · mentions code or data availability 0.02.

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Collider events with multi-stage cascade decays fill out the kinematically allowed region in phase space with a density that is enhanced at the boundary. The boundary encodes all available information about the spectrum and is well populated even with moderate signal statistics due to this enhancement. In previous work, the improvement in the precision of mass measurements for cascade decays with three visible and one invisible particles was demonstrated when the full boundary information is used instead of endpoints of one-dimensional projections. We extend these results to cascade decays with four visible and one invisible particles. We also comment on how the topology of the cascade decay can be determined from the differential distribution of events in these scenarios.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Collider events with multi-stage cascade decays fill out the kinematically allowed region in phase space with a density that is enhanced at the boundary.	background 0.98	0.19	0.08	asserted 1.00
s1	The boundary encodes all available information about the spectrum and is well populated even with moderate signal statistics due to this enhancement.	background 0.80	0.20	0.09	asserted 1.00
s2	In previous work, the improvement in the precision of mass measurements for cascade decays with three visible and one invisible particles was demonstrated when the full boundary information is used instead of endpoints of one-dimensional projections.	background 1.00	0.11	0.10	asserted 1.00
s3	We extend these results to cascade decays with four visible and one invisible particles.	contribution 1.00	0.83	0.14	asserted 0.78
s4	We also comment on how the topology of the cascade decay can be determined from the differential distribution of events in these scenarios.	contribution 0.95	0.67	0.11	unclear 0.41

What kind of paper the classifier reports this is: method or tool 0.96 · evidence from simulation or computation 0.49.

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The paper

Original abstract

Collider events with multi-stage cascade decays fill out the kinematically allowed region in phase space with a density that is enhanced at the boundary. The boundary encodes all available information about the spectrum and is well populated even with moderate signal statistics due to this enhancement. In previous work, the improvement in the precision of mass measurements for cascade decays with three visible and one invisible particles was demonstrated when the full boundary information is used instead of endpoints of one-dimensional projections. We extend these results to cascade decays with four visible and one invisible particles. We also comment on how the topology of the cascade decay can be determined from the differential distribution of events in these scenarios.

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6 arXiv papers cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Cites it as support 3 papers

As already mentioned, $Δ_4$ has been shown to be a powerful observable for analyzing this decay chain, both for discovery and for mass measurement purposes [ref] .

Applying Machine Learning Techniques To Intermediate-Length Cascade Decays · Review of Phase Space and Kinematic Observables · 0.98
[ref] , the multidimensional phase space ${ m_12^2, m_23^2, m_13^2}$ in this case in fact contains more information than is captured by edge-and-endpoint variables alone.

Enhancing the discovery prospects for SUSY-like decays with a forgotten kinematic variable · Introduction · 0.98
As it turns out, the latter is a very safe assumption — if anything, $f_NP$ is not only non-vanishing, but often enhanced and even singular on the boundary $∂P_NP$ [ref] .

Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations · Introduction · 0.99

What it cites · 38 sentences without a confident label

Builds on 1 paper

[ref] to the remaining cascade decay topologies where polynomial methods are not applicable.

Improved mass measurement using the boundary of many-body phase space · Introduction · 1.00

Compares with 1 paper

[ref] we will compare our methods to those based on kinematic endpoints under ideal circumstances, without SM or combinatorial backgrounds, spin correlations or realistic detector effects.

Improved mass measurement using the boundary of many-body phase space · Introduction · 0.93

Cites as background 45 papers

Thus no resonances can be constructed from the visible decay products and discovery as well as mass measurement prospects often rely on endpoints of one-dimensional distributions of Lorentz invariant (e.g. edges, endpoints) [ref] (for a comprehensive review, see [ref] ) or boost invariant (e.g. $m_T$, $m_T2$) variables [ref] .

M_T2-assisted on-shell reconstruction of missing momenta and its application to spin measurement at the LHC · Introduction · 0.95
Thus no resonances can be constructed from the visible decay products and discovery as well as mass measurement prospects often rely on endpoints of one-dimensional distributions of Lorentz invariant (e.g. edges, endpoints) [ref] (for a comprehensive review, see [ref] ) or boost invariant (e.g. $m_T$, $m_T2$) variables [ref] .

Gluino Stransverse Mass · Introduction · 0.95
Thus no resonances can be constructed from the visible decay products and discovery as well as mass measurement prospects often rely on endpoints of one-dimensional distributions of Lorentz invariant (e.g. edges, endpoints) [ref] (for a comprehensive review, see [ref] ) or boost invariant (e.g. $m_T$, $m_T2$) variables [ref] .

Transverse Observables and Mass Determination at Hadron Colliders · Introduction · 0.95

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