Generalized fragmentation functions for fractal jet observables
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Author(s)
Elder, Benjamin Tyler
Procura, Massimiliano
Thaler, Jesse
Waalewijn, Wouter Jonathan
Zhou, Kevin
Date Issued
June 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Elder, Benjamin T., Massimiliano Procura, Jesse Thaler, Wouter J. Waalewijn, and Kevin Zhou. “Generalized Fragmentation Functions for Fractal Jet Observables.” Journal of High Energy Physics 2017, no. 6 (June 2017): 1–54.
Version
Final published version
Abstract
We introduce a broad class of fractal jet observables that recursively probe the collective properties of hadrons produced in jet fragmentation. To describe these collinear-unsafe observables, we generalize the formalism of fragmentation functions, which are important objects in QCD for calculating cross sections involving identified final-state hadrons. Fragmentation functions are fundamentally nonperturbative, but have a calculable renormalization group evolution. Unlike ordinary fragmentation functions, generalized fragmentation functions exhibit nonlinear evolution, since fractal observables involve correlated subsets of hadrons within a jet. Some special cases of generalized fragmentation functions are reviewed, including jet charge and track functions. We then consider fractal jet observables that are based on hierarchical clustering trees, where the nonlinear evolution equations also exhibit tree-like structure at leading order. We develop a numeric code for performing this evolution and study its phenomenological implications. As an application, we present examples of fractal jet observables that are useful in discriminating quark jets from gluon jets.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP06(2017)085
