Non-global logarithms, factorization, and the soft substructure of jets
Abstract
An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and resummed down to an unresolved infrared scale by making sufficiently many measurements on a jet or other restricted phase space region. Resummation is accomplished by renormalization group evolution of the objects in the factorization theorem and anomalous dimensions can be calculated to any perturbative accuracy and with any number of colors. To connect with the NGLs of more inclusive measurements, we present a novel perturbative expansion which is controlled by the volume of the allowed phase space for unresolved emissions. Arbitrary accuracy can be obtained by making more and more measurements so to resolve lower and lower scales. We find that even a minimal number of measurements produces agreement with Monte Carlo methods for leading-logarithmic resummation of NGLs at the sub-percent level over the full dynamical range relevant for the Large Hadron Collider. Here, we also discuss other applications of our factorization theorem to soft jet dynamics and how to extend to higher-order accuracy.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1455239
- Grant/Contract Number:
- SC0011090; SC0012567
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Resummation; QCD
Citation Formats
Larkoski, Andrew J., Moult, Ian, and Neill, Duff. Non-global logarithms, factorization, and the soft substructure of jets. United States: N. p., 2015.
Web. doi:10.1007/JHEP09(2015)143.
Larkoski, Andrew J., Moult, Ian, & Neill, Duff. Non-global logarithms, factorization, and the soft substructure of jets. United States. https://doi.org/10.1007/JHEP09(2015)143
Larkoski, Andrew J., Moult, Ian, and Neill, Duff. Tue .
"Non-global logarithms, factorization, and the soft substructure of jets". United States. https://doi.org/10.1007/JHEP09(2015)143. https://www.osti.gov/servlets/purl/1455239.
@article{osti_1455239,
title = {Non-global logarithms, factorization, and the soft substructure of jets},
author = {Larkoski, Andrew J. and Moult, Ian and Neill, Duff},
abstractNote = {An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and resummed down to an unresolved infrared scale by making sufficiently many measurements on a jet or other restricted phase space region. Resummation is accomplished by renormalization group evolution of the objects in the factorization theorem and anomalous dimensions can be calculated to any perturbative accuracy and with any number of colors. To connect with the NGLs of more inclusive measurements, we present a novel perturbative expansion which is controlled by the volume of the allowed phase space for unresolved emissions. Arbitrary accuracy can be obtained by making more and more measurements so to resolve lower and lower scales. We find that even a minimal number of measurements produces agreement with Monte Carlo methods for leading-logarithmic resummation of NGLs at the sub-percent level over the full dynamical range relevant for the Large Hadron Collider. Here, we also discuss other applications of our factorization theorem to soft jet dynamics and how to extend to higher-order accuracy.},
doi = {10.1007/JHEP09(2015)143},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2015,
place = {United States},
year = {Tue Sep 22 00:00:00 EDT 2015},
month = {Tue Sep 22 00:00:00 EDT 2015}
}
Web of Science
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Subleading power factorization with radiative functions
journal, November 2019
- Moult, Ian; Stewart, Iain W.; Vita, Gherardo
- Journal of High Energy Physics, Vol. 2019, Issue 11
Factorization for jet radius logarithms in jet mass spectra at the LHC
text, January 2016
- Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
The asymptotic form of non-global logarithms, black disc saturation, and gluonic deserts
journal, January 2017
- Neill, Duff
- Journal of High Energy Physics, Vol. 2017, Issue 1
Precision photon spectra for wino annihilation
journal, January 2019
- Baumgart, Matthew; Cohen, Timothy; Moulin, Emmanuel
- Journal of High Energy Physics, Vol. 2019, Issue 1
Factorization and Resummation for Massive Quark Effects in Exclusive Drell-Yan
text, January 2017
- Pietrulewicz, Piotr; Samitz, Daniel; Spiering, Anne
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Threshold and Jet Radius Joint Resummation for Single-Inclusive Jet Production
text, January 2017
- Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Jet veto resummation with jet rapidity cuts
text, January 2019
- Michel, Johannes K. L.; Pietrulewicz, Piotr; Tackmann, Frank J.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
NLL′ resummation of jet mass
text, January 2019
- Balsiger, Marcel; Becher, Thomas; Shao, Ding Yu
- Springer
Measurements of the differential jet cross section as a function of the jet mass in dijet events from proton-proton collisions at s = 13 $$ \sqrt{s}=13 $$ TeV
journal, November 2018
- Sirunyan, A. M.; Tumasyan, A.; Adam, W.
- Journal of High Energy Physics, Vol. 2018, Issue 11
Threshold and jet radius joint resummation for single-inclusive jet production
text, January 2017
- Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Effective Field Theory for Jet Processes
text, January 2016
- Becher, Thomas; Neubert, Matthias; Rothen, Lorena
- American Physical Society
Jet veto resummation with jet rapidity cuts
journal, April 2019
- Michel, Johannes K. L.; Pietrulewicz, Piotr; Tackmann, Frank J.
- Journal of High Energy Physics, Vol. 2019, Issue 4
Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
text, January 2019
- Lustermans, Gillian; Michel, Johannes; Tackmann, Frank J.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Jet Shapes in Dijet Events at the LHC in SCET
text, January 2016
- Hornig, Andrew; Makris, Yiannis; Mehen, Thomas
- arXiv
High-energy evolution to three loops
preprint, January 2016
- Caron-Huot, Simon; Herranen, Matti
- arXiv
Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC
text, January 2016
- Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W.
- arXiv
The Analytic Structure of Non-Global Logarithms: Convergence of the Dressed Gluon Expansion
text, January 2016
- Larkoski, Andrew J.; Moult, Ian; Neill, Duff
- arXiv
A Complete Basis of Helicity Operators for Subleading Factorization
text, January 2017
- Feige, Ilya; Kolodrubetz, Daniel W.; Moult, Ian
- arXiv
Convolved Substructure: Analytically Decorrelating Jet Substructure Observables
text, January 2017
- Moult, Ian; Nachman, Benjamin; Neill, Duff
- arXiv
Resummed Photon Spectra for WIMP Annihilation
text, January 2017
- Baumgart, Matthew; Cohen, Timothy; Moult, Ian
- arXiv
Joint resummation of two angularities at next-to-next-to-leading logarithmic order
text, January 2018
- Procura, Massimiliano; Waalewijn, Wouter J.; Zeune, Lisa
- arXiv
Transverse momentum dependent distributions with jets
text, January 2018
- Gutierrez-Reyes, Daniel; Scimemi, Ignazio; Waalewijn, Wouter J.
- arXiv
Transverse momentum dependent distributions in $e^+e^-$ and semi-inclusive deep-inelastic scattering using jets
text, January 2019
- Gutierrez-Reyes, Daniel; Scimemi, Ignazio; Waalewijn, Wouter J.
- arXiv
Nonperturbative Corrections to Soft Drop Jet Mass
text, January 2019
- Hoang, André H.; Mantry, Sonny; Pathak, Aditya
- arXiv