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Title: 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:
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. 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}
}

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Cited by: 4 works
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Works referenced in this record:

Jets from Quantum Chromodynamics
journal, December 1977


Resummation of non-global QCD observables
journal, July 2001


Resummation of jet mass at hadron colliders
journal, January 2013


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
  • DOI: 10.1007/JHEP10(2012)126

Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order
journal, September 2013


Accounting for coherence in interjet E t flow
journal, March 2002


Resummed event-shape variables in DIS
journal, August 2002


Away-from-jet energy flow
journal, August 2002


Non-global logarithms in inter-jet energy flow with kt clustering requirement
journal, December 2002


Non-global jet evolution at finite Nc
journal, May 2004


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
  • DOI: 10.1007/JHEP08(2011)054

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
  • DOI: 10.1007/JHEP01(2012)149

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
  • DOI: 10.1103/PhysRevD.86.054017

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
  • DOI: 10.1007/JHEP09(2012)117

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


Nonglobal logarithms at three loops, four loops, five loops, and beyond
journal, September 2014


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
  • DOI: 10.1007/JHEP03(2015)094

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
  • DOI: 10.1007/JHEP09(2015)143

Towards an understanding of jet substructure
journal, September 2013

  • Dasgupta, Mrinal; Fregoso, Alessandro; Marzani, Simone
  • Journal of High Energy Physics, Vol. 2013, Issue 9
  • DOI: 10.1007/JHEP09(2013)029

Jet substructure with analytical methods
journal, November 2013


Soft drop
journal, May 2014

  • Larkoski, Andrew J.; Marzani, Simone; Soyez, Gregory
  • Journal of High Energy Physics, Vol. 2014, Issue 5
  • DOI: 10.1007/JHEP05(2014)146

Principles of general final-state resummation and automated implementation
journal, March 2005


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
  • DOI: 10.1007/JHEP04(2014)017

Jet substructure without trees
journal, June 2011

  • Jankowiak, Martin; Larkoski, Andrew J.
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/JHEP06(2011)057

Quark and gluon jet substructure
journal, April 2013

  • Gallicchio, Jason; Schwartz, Matthew D.
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)090

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
  • DOI: 10.1007/JHEP06(2013)108

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
  • DOI: 10.1007/JHEP11(2014)129

Mutual information and forward-backward correlations in multihadron production
journal, May 1989


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


On QCD resummation with k t clustering
journal, December 2006


New clustering algorithm for multijet cross sections in e+e− annihilation
journal, October 1991


Aspects of jets at 100 TeV
journal, August 2014


An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001


Invariant operators in collinear effective theory
journal, September 2001


Soft-collinear factorization in effective field theory
journal, February 2002


Hard scattering factorization from effective field theory
journal, July 2002


Jet observables without jet algorithms
journal, April 2014

  • Bertolini, Daniele; Chan, Tucker; Thaler, Jesse
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)013

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
  • DOI: 10.1007/JHEP05(2015)008

Power corrections to event shapes and factorization
journal, August 1999


On power corrections to the event shape distributions in QCD
journal, October 2000


Treating the b quark distribution function with reliable uncertainties
journal, December 2008


Calculation of power corrections to hadronic event shapes
journal, June 1995


Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory
journal, January 2007


A brief introduction to PYTHIA 8.1
journal, June 2008

  • Sjöstrand, Torbjörn; Mrenna, Stephen; Skands, Peter
  • Computer Physics Communications, Vol. 178, Issue 11
  • DOI: 10.1016/j.cpc.2008.01.036

An introduction to PYTHIA 8.2
journal, June 2015

  • Sjöstrand, Torbjörn; Ask, Stefan; Christiansen, Jesper R.
  • Computer Physics Communications, Vol. 191
  • DOI: 10.1016/j.cpc.2015.01.024

A simple shower and matching algorithm
journal, July 2008


Higher-order corrections to timelike jets
journal, September 2011


Timelike dipole-antenna showers with massive fermions
journal, January 2012


Antenna showers with hadronic initial states
journal, January 2013


FastJet user manual: (for version 3.0.2)
journal, March 2012


The Upward Bias in Measures of Information Derived from Limited Data Samples
journal, March 1995


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
  • DOI: 10.1088/0954-898X/7/1/006

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
  • DOI: 10.1007/JHEP11(2010)101

Event shape–energy flow correlations
journal, July 2003


Substructure of high- p T jets at the LHC
journal, April 2009


Estimating mutual information
journal, June 2004