TL;DR
This paper introduces persistent Betti numbers as a novel topological tool to analyze jet structures, enabling the reconstruction of jet branch trees and aiding in jet classification tasks.
Contribution
It presents a new application of topological invariants, specifically persistent Betti numbers, for characterizing and reconstructing jet topologies in particle physics.
Findings
Successfully reconstructs jet branch phylogenetic trees.
Demonstrates effectiveness in distinguishing light-quark and gluon jets.
Provides a new topological approach for jet analysis.
Abstract
We introduce persistent Betti numbers to characterize topological structure of jets. These topological invariants measure multiplicity and connectivity of jet branches at a given scale threshold, while their persistence records evolution of each topological feature as this threshold varies. With this knowledge, in particular, we are able to reconstruct branch phylogenetic tree of each jet. These points are demonstrated in the benchmark scenario of light-quark versus gluon jets. This study provides a topological tool to develop jet taggers, and opens a new angle to look into jet physics.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows