Energy flow polynomials: a complete linear basis for jet substructure

  • Patrick T. Komiske
  • Eric M. Metodiev
  • Jesse Thaler
Open Access
Regular Article - Theoretical Physics


We introduce the energy flow polynomials: a complete set of jet substructure observables which form a discrete linear basis for all infrared- and collinear-safe observables. Energy flow polynomials are multiparticle energy correlators with specific angular structures that are a direct consequence of infrared and collinear safety. We establish a powerful graph-theoretic representation of the energy flow polynomials which allows us to design efficient algorithms for their computation. Many common jet observables are exact linear combinations of energy flow polynomials, and we demonstrate the linear spanning nature of the energy flow basis by performing regression for several common jet observables. Using linear classification with energy flow polynomials, we achieve excellent performance on three representative jet tagging problems: quark/gluon discrimination, boosted W tagging, and boosted top tagging. The energy flow basis provides a systematic framework for complete investigations of jet substructure using linear methods.


Jets QCD Phenomenology 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Patrick T. Komiske
    • 1
  • Eric M. Metodiev
    • 1
  • Jesse Thaler
    • 1
  1. 1.Center for Theoretical Physics, Massachusetts Institute of TechnologyCambridgeU.S.A.

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