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Title: Entropy of a Jet

Abstract

Scattering processes often inevitably include the production of infrared states, which are highly correlated with the hard scattering event, and decohere the hard states. This can be described using the entropy of the hard reduced density matrix, which is obtained from tracing over infrared states. We determine this entropy for an asymptotically free gauge theory by separating the Hilbert space into hard and infrared states, and calculate it in a leading-logarithmic approximation for jets. Here, we find that the entropy increases when the resolution scales defining the hard radiation are lowered, that this entropy is related to the subjet multiplicity, and explore connections to using jet images for machine learning, and the forward-scattering density matrix of partons in a nucleon probed in deep-inelastic scattering.

Authors:
;
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1567720
Alternate Identifier(s):
OSTI ID: 1571595
Report Number(s):
LA-UR-18-30360
Journal ID: ISSN 0031-9007; PRLTAO; 142001
Grant/Contract Number:  
AC52-06NA25396; 89233218CNA000001
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 14; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic; Nuclear and Particle Physics

Citation Formats

Neill, Duff, and Waalewijn, Wouter J. Entropy of a Jet. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.142001.
Neill, Duff, & Waalewijn, Wouter J. Entropy of a Jet. United States. doi:10.1103/PhysRevLett.123.142001.
Neill, Duff, and Waalewijn, Wouter J. Mon . "Entropy of a Jet". United States. doi:10.1103/PhysRevLett.123.142001.
@article{osti_1567720,
title = {Entropy of a Jet},
author = {Neill, Duff and Waalewijn, Wouter J.},
abstractNote = {Scattering processes often inevitably include the production of infrared states, which are highly correlated with the hard scattering event, and decohere the hard states. This can be described using the entropy of the hard reduced density matrix, which is obtained from tracing over infrared states. We determine this entropy for an asymptotically free gauge theory by separating the Hilbert space into hard and infrared states, and calculate it in a leading-logarithmic approximation for jets. Here, we find that the entropy increases when the resolution scales defining the hard radiation are lowered, that this entropy is related to the subjet multiplicity, and explore connections to using jet images for machine learning, and the forward-scattering density matrix of partons in a nucleon probed in deep-inelastic scattering.},
doi = {10.1103/PhysRevLett.123.142001},
journal = {Physical Review Letters},
number = 14,
volume = 123,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.123.142001

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

FIG. 1 FIG. 1: The entropy of a gluon jet as function of the ratio of the jet radiusmore » $R$ over the subjet radius $R$c, with $Λ$2 = [($E$$^{2}_{c}$$R$$^{2}_{c}$)/(8$π$$C$$A$$α$s)]. Shown are the analytic (red dotted) and Monte Carlo (blue solid) result for $E$/$E$c = 0.01 at fixed coupling, as well as the Monte Carlo result with running coupling (green dashed), which now depends on the jet energy $E$ = 1 TeV and radius $R$ = 1.« less

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