# Multi dimensional phase space slicing

Franceschini, D. Lester, M. Having investigated a variable describing the size of the Voronoi polygon, we now examine a variable characterizing the shape of the polygon, e. The approach to the mass measurement taken here seeks to improve on those described in the existing literature in the following ways: 1. Lemaitre, F. Han, G. Burns, K. C 70 B99

A two-dimensional slice of phase space for the decay topology of figure 1. The solid curve indicates the boundary of the kinematically accessible phase space. cascade decays fill out the kinematically allowed region in phase space with a is used instead of endpoints of one-dimensional projections. derive expressions for the phase-space of a particle of momentum p decaying into N particles, that are valid for any number of dimensions.

As briefly discussed in Ref.

Cacciari, G.

Hence it will escape the detector without being detected. The tessellation then automatically provides a number of cell-based attributes for each data point. Probability density distribution in the q variable 23 using the same event sample as in Fig.

Events were generated with MadGraph5 [ ]. To support these conclusions, as well as to explain in detail to the reader the methods employed, we proceed as follows.

(a) A two-dimensional slice through the vibrational quantum number space of a molecule, where coordinates corresponding to the ''reaction mode'' and one of. the 4 − 2ε-dimensional phase space for all real emissions into a multi-dimensional A third alternative is to use a generalisation of the phase-space slicing.

The reason is that we are trying to detect a discontinuity and therefore we need to study the relative properties of cells on both sides of the boundary.

McElrath, Accurate mass determinations in decay chains with missing energy.

## Identifying phasespace boundaries with Voronoi tessellations SpringerLink

Gunion, Z. Franceschini, D.

Video: Multi dimensional phase space slicing The 11 Dimensions EXPLAINED

Serna, The precision determination of invisible-particle masses at the LHC.

Multi dimensional phase space slicing |
This set of observables may not be sufficient to totally specify the kinematics of the event.
Franceschini, S. Dobrescu, Bounds on universal extra dimensions. Video: Multi dimensional phase space slicing Math Mornings at Yale: Higher Dimensional Space and the Things In It It is stable, and, if a dark matter candidate, uncharged and uncolored. Kim, Energy spectra of massive two-body decay products and mass measurement. |

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