Fundamental laws of physics introduce specific topological features in the phase-space of n-body processes in collider events. We introduce a new analysis approach relying on analyzing such global topological properties of the manifold over the distribution of events. One specific property of potential interest is the dimensionality of the phase space. It can, for example, be used for clustering events and discovering anomalies in an unsupervised way.
Focusing on the Drell-Yan process with and without Z-resonance, we show that the dimensionality can be accurately estimated using the minimal neighborhood information. As a resonance reduces the dimensionality by one, we can use this to separate the two processes. Our approach can be extended to more complicated processes and generally has a potentially wide range of applications in particle physics.
|Affiliation||University of Hamburg|