Singular behavior of jet substructure observables

Jet substructure observables play a central role at the Large Hadron Collider for identifying the boosted hadronic decay products of electroweak scale resonances. The complete description of these observables requires understanding both the limit in which hard substructure is resolved, as well as th...

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Main Authors: Larkoski, Andrew J., Moult, Ian James
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2016
Online Access:http://hdl.handle.net/1721.1/100973
https://orcid.org/0000-0002-4819-4081
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author Larkoski, Andrew J.
Moult, Ian James
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Larkoski, Andrew J.
Moult, Ian James
author_sort Larkoski, Andrew J.
collection MIT
description Jet substructure observables play a central role at the Large Hadron Collider for identifying the boosted hadronic decay products of electroweak scale resonances. The complete description of these observables requires understanding both the limit in which hard substructure is resolved, as well as the limit of a jet with a single hard core. In this paper we study in detail the perturbative structure of two prominent jet substructure observables, N-subjettiness and the energy correlation functions, as measured on background QCD jets. In particular, we focus on the distinction between the limits in which two-prong structure is resolved or unresolved. Depending on the choice of subjet axes, we demonstrate that at fixed order, N-subjettiness can manifest myriad behaviors in the unresolved region: smooth tails, end point singularities, or singularities in the physical region. The energy correlation functions, by contrast, only have nonsingular perturbative tails extending to the end point. We discuss the effect of hadronization on the various observables with Monte Carlo simulation and demonstrate that the modeling of these effects with nonperturbative shape functions is highly dependent on the N-subjettiness axes definitions. Our study illustrates those regions of phase space that must be controlled for high-precision jet substructure calculations, and emphasizes how such calculations can be facilitated by designing substructure observables with simple singular structures.
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spelling mit-1721.1/1009732022-09-30T14:06:58Z Singular behavior of jet substructure observables Larkoski, Andrew J. Moult, Ian James Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Moult, Ian James Jet substructure observables play a central role at the Large Hadron Collider for identifying the boosted hadronic decay products of electroweak scale resonances. The complete description of these observables requires understanding both the limit in which hard substructure is resolved, as well as the limit of a jet with a single hard core. In this paper we study in detail the perturbative structure of two prominent jet substructure observables, N-subjettiness and the energy correlation functions, as measured on background QCD jets. In particular, we focus on the distinction between the limits in which two-prong structure is resolved or unresolved. Depending on the choice of subjet axes, we demonstrate that at fixed order, N-subjettiness can manifest myriad behaviors in the unresolved region: smooth tails, end point singularities, or singularities in the physical region. The energy correlation functions, by contrast, only have nonsingular perturbative tails extending to the end point. We discuss the effect of hadronization on the various observables with Monte Carlo simulation and demonstrate that the modeling of these effects with nonperturbative shape functions is highly dependent on the N-subjettiness axes definitions. Our study illustrates those regions of phase space that must be controlled for high-precision jet substructure calculations, and emphasizes how such calculations can be facilitated by designing substructure observables with simple singular structures. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360) United States. Dept. of Energy (Cooperative Research Agreement DE-SC0011090) Natural Sciences and Engineering Research Council of Canada 2016-01-25T15:56:23Z 2016-01-25T15:56:23Z 2016-01 2015-11 2016-01-20T23:00:08Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/100973 Larkoski, Andrew J., and Ian Moult. "Singular behavior of jet substructure observables." Phys. Rev. D 93, 014017 (January 2016). © 2016 American Physical Society https://orcid.org/0000-0002-4819-4081 en http://dx.doi.org/10.1103/PhysRevD.93.014017 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Larkoski, Andrew J.
Moult, Ian James
Singular behavior of jet substructure observables
title Singular behavior of jet substructure observables
title_full Singular behavior of jet substructure observables
title_fullStr Singular behavior of jet substructure observables
title_full_unstemmed Singular behavior of jet substructure observables
title_short Singular behavior of jet substructure observables
title_sort singular behavior of jet substructure observables
url http://hdl.handle.net/1721.1/100973
https://orcid.org/0000-0002-4819-4081
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