Nonglobal correlations in collider physics
Abstract
Despite their importance for precision QCD calculations, correlations between in- and out-of-jet regions of phase space have never directly been observed. These so-called non-global effects are present generically whenever a collider physics measurement is not explicitly dependent on radiation throughout the entire phase space. In this paper, we introduce a novel procedure based on mutual information, which allows us to isolate these non-global correlations between measurements made in different regions of phase space. We study this procedure both analytically and in Monte Carlo simulations in the context of observables measured on hadronic final states produced in e+e- collisions, though it is more widely applicable.The procedure exploits the sensitivity of soft radiation at large angles to non-global correlations, and we calculate these correlations through next-to-leading logarithmic accuracy. The bulk of these non-global correlations are found to be described in Monte Carlo simulation. They increase by the inclusion of non-perturbative effects, which we show can be incorporated in our calculation through the use of a model shape function. As a result, this procedure illuminates the source of non-global correlations and has connections more broadly to fundamental quantities in quantum field theory.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Harvard Univ., Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1236390
- Alternate Identifier(s):
- OSTI ID: 1235609
- Grant/Contract Number:
- SC0011090; FG02-05ER-41360
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Moult, Ian, and Larkoski, Andrew J. Nonglobal correlations in collider physics. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.014012.
Moult, Ian, & Larkoski, Andrew J. Nonglobal correlations in collider physics. United States. https://doi.org/10.1103/PhysRevD.93.014012
Moult, Ian, and Larkoski, Andrew J. Wed .
"Nonglobal correlations in collider physics". United States. https://doi.org/10.1103/PhysRevD.93.014012. https://www.osti.gov/servlets/purl/1236390.
@article{osti_1236390,
title = {Nonglobal correlations in collider physics},
author = {Moult, Ian and Larkoski, Andrew J.},
abstractNote = {Despite their importance for precision QCD calculations, correlations between in- and out-of-jet regions of phase space have never directly been observed. These so-called non-global effects are present generically whenever a collider physics measurement is not explicitly dependent on radiation throughout the entire phase space. In this paper, we introduce a novel procedure based on mutual information, which allows us to isolate these non-global correlations between measurements made in different regions of phase space. We study this procedure both analytically and in Monte Carlo simulations in the context of observables measured on hadronic final states produced in e+e- collisions, though it is more widely applicable.The procedure exploits the sensitivity of soft radiation at large angles to non-global correlations, and we calculate these correlations through next-to-leading logarithmic accuracy. The bulk of these non-global correlations are found to be described in Monte Carlo simulation. They increase by the inclusion of non-perturbative effects, which we show can be incorporated in our calculation through the use of a model shape function. As a result, this procedure illuminates the source of non-global correlations and has connections more broadly to fundamental quantities in quantum field theory.},
doi = {10.1103/PhysRevD.93.014012},
journal = {Physical Review D},
number = 1,
volume = 93,
place = {United States},
year = {Wed Jan 13 00:00:00 EST 2016},
month = {Wed Jan 13 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Jets from Quantum Chromodynamics
journal, December 1977
- Sterman, George; Weinberg, Steven
- Physical Review Letters, Vol. 39, Issue 23
Resummation of non-global QCD observables
journal, July 2001
- Dasgupta, M.; Salam, G. P.
- Physics Letters B, Vol. 512, Issue 3-4
Resummation of jet mass at hadron colliders
journal, January 2013
- Chien, Yang-Ting; Kelley, Randall; Schwartz, Matthew D.
- Physical Review D, Vol. 87, Issue 1
On jet mass distributions in Z+jet and dijet processes at the LHC
journal, October 2012
- Dasgupta, Mrinal; Khelifa-Kerfa, Kamel; Marzani, Simone
- Journal of High Energy Physics, Vol. 2012, Issue 10
Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order
journal, September 2013
- Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J.
- Physical Review D, Vol. 88, Issue 5
Accounting for coherence in interjet E t flow
journal, March 2002
- Dasgupta, Mrinal; Salam, Gavin P.
- Journal of High Energy Physics, Vol. 2002, Issue 03
Resummed event-shape variables in DIS
journal, August 2002
- Dasgupta, Mrinal; Salam, Gavin P.
- Journal of High Energy Physics, Vol. 2002, Issue 08
Away-from-jet energy flow
journal, August 2002
- Banfi, Andrea; Marchesini, Giuseppe; Smye, Graham
- Journal of High Energy Physics, Vol. 2002, Issue 08
Non-global logarithms in inter-jet energy flow with kt clustering requirement
journal, December 2002
- Appleby, Robert B.; Seymour, Mike H.
- Journal of High Energy Physics, Vol. 2002, Issue 12
Non-global jet evolution at finite Nc
journal, May 2004
- Weigert, Heribert
- Nuclear Physics B, Vol. 685, Issue 1-3
Non-global structure of the $ \mathcal{O}\left( {\alpha_s^2} \right) $ dijet soft function
journal, August 2011
- Hornig, Andrew; Lee, Christopher; Stewart, Iain W.
- Journal of High Energy Physics, Vol. 2011, Issue 8
Double non-global logarithms in-n-out of jets
journal, January 2012
- Hornig, Andrew; Lee, Christopher; Walsh, Jonathan R.
- Journal of High Energy Physics, Vol. 2012, Issue 1
Jet mass with a jet veto at two loops and the universality of nonglobal structure
journal, September 2012
- Kelley, Randall; Schwartz, Matthew D.; Schabinger, Robert M.
- Physical Review D, Vol. 86, Issue 5
Abelian non-global logarithms from soft gluon clustering
journal, September 2012
- Kelley, Randall; Walsh, Jonathan R.; Zuberi, Saba
- Journal of High Energy Physics, Vol. 2012, Issue 9
Resummation of non-global logarithms at finite <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math>
journal, September 2013
- Hatta, Yoshitaka; Ueda, Takahiro
- Nuclear Physics B, Vol. 874, Issue 3
Nonglobal logarithms at three loops, four loops, five loops, and beyond
journal, September 2014
- Schwartz, Matthew D.; Zhu, Hua Xing
- Physical Review D, Vol. 90, Issue 6
Non-global logarithms at finite N c beyond leading order
journal, March 2015
- Khelifa-Kerfa, Kamel; Delenda, Yazid
- Journal of High Energy Physics, Vol. 2015, Issue 3
Non-global logarithms, factorization, and the soft substructure of jets
journal, September 2015
- Larkoski, Andrew J.; Moult, Ian; Neill, Duff
- Journal of High Energy Physics, Vol. 2015, Issue 9
Towards an understanding of jet substructure
journal, September 2013
- Dasgupta, Mrinal; Fregoso, Alessandro; Marzani, Simone
- Journal of High Energy Physics, Vol. 2013, Issue 9
Jet substructure with analytical methods
journal, November 2013
- Dasgupta, Mrinal; Fregoso, Alessandro; Marzani, Simone
- The European Physical Journal C, Vol. 73, Issue 11
Soft drop
journal, May 2014
- Larkoski, Andrew J.; Marzani, Simone; Soyez, Gregory
- Journal of High Energy Physics, Vol. 2014, Issue 5
Principles of general final-state resummation and automated implementation
journal, March 2005
- Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia
- Journal of High Energy Physics, Vol. 2005, Issue 03
Jet shapes with the broadening axis
journal, April 2014
- Larkoski, Andrew J.; Neill, Duff; Thaler, Jesse
- Journal of High Energy Physics, Vol. 2014, Issue 4
Jet substructure without trees
journal, June 2011
- Jankowiak, Martin; Larkoski, Andrew J.
- Journal of High Energy Physics, Vol. 2011, Issue 6
Quark and gluon jet substructure
journal, April 2013
- Gallicchio, Jason; Schwartz, Matthew D.
- Journal of High Energy Physics, Vol. 2013, Issue 4
Energy correlation functions for jet substructure
journal, June 2013
- Larkoski, Andrew J.; Salam, Gavin P.; Thaler, Jesse
- Journal of High Energy Physics, Vol. 2013, Issue 6
Gaining (mutual) information about quark/gluon discrimination
journal, November 2014
- Larkoski, Andrew J.; Thaler, Jesse; Waalewijn, Wouter J.
- Journal of High Energy Physics, Vol. 2014, Issue 11
Mutual information and forward-backward correlations in multihadron production
journal, May 1989
- Carruthers, P.; Shih, C. C.
- Physical Review Letters, Vol. 62, Issue 18
Problems in resumming interjet energy flows with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math> clustering
journal, November 2005
- Banfi, A.; Dasgupta, M.
- Physics Letters B, Vol. 628, Issue 1-2
On QCD resummation with k t clustering
journal, December 2006
- Delenda, Yazid; Appleby, Robert; Dasgupta, Mrinal
- Journal of High Energy Physics, Vol. 2006, Issue 12
New clustering algorithm for multijet cross sections in e+e− annihilation
journal, October 1991
- Catani, S.; Dokshitzer, Yu. L.; Olsson, M.
- Physics Letters B, Vol. 269, Issue 3-4
Aspects of jets at 100 TeV
journal, August 2014
- Larkoski, Andrew J.; Thaler, Jesse
- Physical Review D, Vol. 90, Issue 3
An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 63, Issue 11
Invariant operators in collinear effective theory
journal, September 2001
- Bauer, Christian W.; Stewart, Iain W.
- Physics Letters B, Vol. 516, Issue 1-2
Soft-collinear factorization in effective field theory
journal, February 2002
- Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
- Physical Review D, Vol. 65, Issue 5
Hard scattering factorization from effective field theory
journal, July 2002
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 66, Issue 1
Jet observables without jet algorithms
journal, April 2014
- Bertolini, Daniele; Chan, Tucker; Thaler, Jesse
- Journal of High Energy Physics, Vol. 2014, Issue 4
The first calculation of fractional jets
journal, May 2015
- Bertolini, Daniele; Thaler, Jesse; Walsh, Jonathan R.
- Journal of High Energy Physics, Vol. 2015, Issue 5
Power corrections to event shapes and factorization
journal, August 1999
- Korchemsky, Gregory P.; Sterman, George
- Nuclear Physics B, Vol. 555, Issue 1-2
On power corrections to the event shape distributions in QCD
journal, October 2000
- Korchemsky, Gregory P.; Tafat, Sofiane
- Journal of High Energy Physics, Vol. 2000, Issue 10
Treating the quark distribution function with reliable uncertainties
journal, December 2008
- Ligeti, Zoltan; Stewart, Iain W.; Tackmann, Frank J.
- Physical Review D, Vol. 78, Issue 11
Calculation of power corrections to hadronic event shapes
journal, June 1995
- Dokshitzer, Yu. L.; Webber, B. R.
- Physics Letters B, Vol. 352, Issue 3-4
Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory
journal, January 2007
- Lee, Christopher; Sterman, George
- Physical Review D, Vol. 75, Issue 1
A brief introduction to PYTHIA 8.1
journal, June 2008
- Sjöstrand, Torbjörn; Mrenna, Stephen; Skands, Peter
- Computer Physics Communications, Vol. 178, Issue 11
An introduction to PYTHIA 8.2
journal, June 2015
- Sjöstrand, Torbjörn; Ask, Stefan; Christiansen, Jesper R.
- Computer Physics Communications, Vol. 191
A simple shower and matching algorithm
journal, July 2008
- Giele, W. T.; Kosower, D. A.; Skands, P. Z.
- Physical Review D, Vol. 78, Issue 1
Higher-order corrections to timelike jets
journal, September 2011
- Giele, W. T.; Kosower, D. A.; Skands, P. Z.
- Physical Review D, Vol. 84, Issue 5
Timelike dipole-antenna showers with massive fermions
journal, January 2012
- Gehrmann-De Ridder, A.; Ritzmann, M.; Skands, P.
- Physical Review D, Vol. 85, Issue 1
Antenna showers with hadronic initial states
journal, January 2013
- Ritzmann, M.; Kosower, D. A.; Skands, P.
- Physics Letters B, Vol. 718, Issue 4-5
FastJet user manual: (for version 3.0.2)
journal, March 2012
- Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory
- The European Physical Journal C, Vol. 72, Issue 3
The Upward Bias in Measures of Information Derived from Limited Data Samples
journal, March 1995
- Treves, Alessandro; Panzeri, Stefano
- Neural Computation, Vol. 7, Issue 2
Analytical estimates of limited sampling biases in different information measures
journal, February 1996
- Panzeri, Stefano; Treves, Alessandro
- Network: Computation in Neural Systems, Vol. 7, Issue 1, p. 87-107
Jet shapes and jet algorithms in SCET
journal, November 2010
- Ellis, Stephen D.; Vermilion, Christopher K.; Walsh, Jonathan R.
- Journal of High Energy Physics, Vol. 2010, Issue 11
Event shape–energy flow correlations
journal, July 2003
- Berger, Carola F.; Kúcs, Tibor; Sterman, George
- Physical Review D, Vol. 68, Issue 1
Substructure of high- jets at the LHC
journal, April 2009
- Almeida, Leandro G.; Lee, Seung J.; Perez, Gilad
- Physical Review D, Vol. 79, Issue 7
Estimating mutual information
journal, June 2004
- Kraskov, Alexander; Stögbauer, Harald; Grassberger, Peter
- Physical Review E, Vol. 69, Issue 6