Energy flow polynomials: a complete linear basis for jet substructure

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...

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Main Authors: Komiske, Patrick T., Metodiev, Eric Mario, Thaler, Jesse
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: Springer International Publishing AG 2018
Online Access:http://hdl.handle.net/1721.1/114646
https://orcid.org/0000-0002-2406-8160
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author Komiske, Patrick T.
Metodiev, Eric Mario
Thaler, Jesse
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Komiske, Patrick T.
Metodiev, Eric Mario
Thaler, Jesse
author_sort Komiske, Patrick T.
collection MIT
description 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. Keywords: Jets; QCD Phenomenology
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spelling mit-1721.1/1146462022-09-29T20:24:13Z Energy flow polynomials: a complete linear basis for jet substructure Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Komiske, Patrick T. Metodiev, Eric Mario Thaler, Jesse 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. Keywords: Jets; QCD Phenomenology 2018-04-10T15:33:44Z 2018-04-10T15:33:44Z 2018-04 2018-01 2018-04-07T04:03:23Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/114646 Komiske, Patrick T. et al. "Energy flow polynomials: a complete linear basis for jet substructure." Journal of High Energy Physics 2018 (April 2018): 13 © 2018 The Author(s) https://orcid.org/0000-0002-2406-8160 en https://link.springer.com/article/10.1007/JHEP04%282018%29013 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer International Publishing AG Springer Berlin Heidelberg
spellingShingle Komiske, Patrick T.
Metodiev, Eric Mario
Thaler, Jesse
Energy flow polynomials: a complete linear basis for jet substructure
title Energy flow polynomials: a complete linear basis for jet substructure
title_full Energy flow polynomials: a complete linear basis for jet substructure
title_fullStr Energy flow polynomials: a complete linear basis for jet substructure
title_full_unstemmed Energy flow polynomials: a complete linear basis for jet substructure
title_short Energy flow polynomials: a complete linear basis for jet substructure
title_sort energy flow polynomials a complete linear basis for jet substructure
url http://hdl.handle.net/1721.1/114646
https://orcid.org/0000-0002-2406-8160
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