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Improved mass measurement using the boundary of many-body phase space
High Energy Physics - Phenomenology · Submitted 29 Aug 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that mass measurements for new particles appearing in decay chains can be improved by determining the boundary of the available phase space in its full dimensionality rather than by using one-dimensional kinematic features for each stage of the cascade decay.
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The abstract, sentence by sentence
We show that mass measurements for new particles appearing in decay chains can be improved by determining the boundary of the available phase space in its full dimensionality rather than by using one-dimensional kinematic features for each stage of the cascade decay. This is demonstrated for the case of one particle decaying to three visible and one invisible particles in a two-stage cascade, but our methods also apply to a more general set of decay topologies. We show that not only mass differences, but also the overall scale of masses can be determined with high precision without having to rely on cross section information. The improvement arises from the properties of the higher dimensional phase space itself, independent of the matrix element for the decay, and it is not weakened by the presence of intermediate on-shell particles in the cascade. Our results are particularly significant for the case of low signal statistics, a distinct possibility for new physics searches in the near future.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that mass measurements for new particles appearing in decay chains can be improved by determining the boundary of the available phase space in its full dimensionality rather than by using one-dimensional kinematic features for each stage of the cascade decay. | contribution 0.88 | 0.93 | 0.91 | asserted 1.00 |
| s1 | This is demonstrated for the case of one particle decaying to three visible and one invisible particles in a two-stage cascade, but our methods also apply to a more general set of decay topologies. | contribution 0.48 | 0.82 | 0.08 | asserted 1.00 |
| s2 | We show that not only mass differences, but also the overall scale of masses can be determined with high precision without having to rely on cross section information. | result 0.99 | 0.92 | 0.23 | asserted 1.00 |
| s3 | The improvement arises from the properties of the higher dimensional phase space itself, independent of the matrix element for the decay, and it is not weakened by the presence of intermediate on-shell particles in the cascade. | interpretation 0.83 | 0.84 | 0.16 | asserted 1.00 |
| s4 | Our results are particularly significant for the case of low signal statistics, a distinct possibility for new physics searches in the near future. | interpretation 0.99 | 0.43 | 0.07 | asserted 0.54 |
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The paper
Original abstract
We show that mass measurements for new particles appearing in decay chains can be improved by determining the boundary of the available phase space in its full dimensionality rather than by using one-dimensional kinematic features for each stage of the cascade decay. This is demonstrated for the case of one particle decaying to three visible and one invisible particles in a two-stage cascade, but our methods also apply to a more general set of decay topologies. We show that not only mass differences, but also the overall scale of masses can be determined with high precision without having to rely on cross section information. The improvement arises from the properties of the higher dimensional phase space itself, independent of the matrix element for the decay, and it is not weakened by the presence of intermediate on-shell particles in the cascade. Our results are particularly significant for the case of low signal statistics, a distinct possibility for new physics searches in the near future.
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How the literature uses it
15 arXiv papers cite this in 46 sentences
Papers citing it · 33 sentences without a confident label
Builds on it 1 paper
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[ref] to the remaining cascade decay topologies where polynomial methods are not applicable.
Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology Determination · Introduction · 1.00
Compares with it 2 papers
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[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.
Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology Determination · Introduction · 0.93
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Up to the numerical prefactor of 256, the left-hand side of ([ref]) is precisely the $Δ_4$ variable introduced in [ref] .
Singularity Variables for Missing Energy Event Kinematics · Single decay chain, three successive two-body decays · 0.91
Cites it as support 5 papers
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[ref] that using $Δ_4$ as a kinematic observable helps break the degeneracy along the flat direction and determine the overall mass scale, and we therefore expect $Δ_4$ to be a powerful variable when performing a neural network based analysis as well.
Applying Machine Learning Techniques To Intermediate-Length Cascade Decays · Mass Scale Determination · 0.98
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This improves on one-dimensional methods, in increasing greatly the amount of information that can be extracted from the data [ref] .[At the same time, this approach avoids the drawbacks of some of the more model-dependent, process-specific, and computationally intensive methods, of which the MEM is perhaps the paradigmatic example.] To be specific, we shall consider the classic SUSY decay chain of three successive two-body decays as shown in Fig. [ref].
Identifying Phase Space Boundaries with Voronoi Tessellations · Introduction · 0.98
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[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
Cites it as background 3 papers
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The equation for the boundary $∂P_NP$ is known analytically [ref] in terms of just four parameters — the masses of the SUSY particles participating in the decay chain.
Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations · Introduction · 0.83
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Even then, the signal distribution $f_NP$ often exhibits some special features[In general, such kinematic singularities arise in the course of projecting the full phase space onto a lower-dimensional space of observables [ref] .], e.g., kinematic endpoints [ref] , kinematic boundaries [ref] , kinks [ref] and cusps [ref] , which are absent in the background distribution $f_SM$.
Edge Detecting New Physics the Voronoi Way · Introduction · 0.92
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See also references [ref] for other kinematic methods for mass measurement, which do not typically require the measurement of MET, and Refs. [ref] for a general review of mass measurement methods.
Energy spectra of massive two-body decay products and mass measurement · Introduction · 0.98
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