Non-global logarithms, factorization, and the soft substructure of jets

Larkoski, Andrew J.; Moult, Ian; Neill, Duff

doi:10.1007/JHEP09(2015)143

Title: 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:

Larkoski, Andrew J. ^[1]; Moult, Ian ^[1]; Neill, Duff ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

Publication Date:: Tue Sep 22 00:00:00 EDT 2015

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.

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                    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

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                    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.

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@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}

}

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Title: Non-global logarithms, factorization, and the soft substructure of jets

Abstract

Citation Formats

Super-leading logarithms in non-global observables in QCD: colour basis independent calculation journal, September 2008

Energy and Color Flow in Dijet Rapidity Gaps journal, October 1998

Relating e + e − annihilation to high energy scattering at weak and strong coupling journal, November 2008

Single soft gluon emission at two loops journal, November 2013

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

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry journal, February 2003

Toward multi-differential cross sections: measuring two angularities on a single jet journal, September 2014

Webs in multiparton scattering using the replica trick journal, November 2010

Identifying boosted objects with N-subjettiness journal, March 2011

Heavy jet mass distribution in e+e− annihilation journal, December 1991

Resummation of the jet broadening in DIS journal, June 2002

N Jettiness: An Inclusive Event Shape to Veto Jets journal, August 2010

Double non-global logarithms in-n-out of jets journal, January 2012

Enhanced nonperturbative effects in Z decays to hadrons journal, August 2004

Higgs production with a central jet veto at NNLL+NNLO journal, April 2011

Weak decays beyond leading logarithms journal, October 1996

Invariant operators in collinear effective theory journal, September 2001

Gauge fields as rings of glue journal, January 1980

Maximizing boosted top identification by minimizing N-subjettiness journal, February 2012

The renormalization group equation for the color glass condensate journal, June 2001

Super-leading logarithms in non-global observables in QCD? journal, August 2006

Resummed C-parameter distribution in e+e− annihilation journal, May 1998

Energy correlation functions for jet substructure journal, June 2013

Energy flow in interjet radiation journal, May 2002

Jet observables without jet algorithms journal, April 2014

Factorization for short distance hadron-hadron scattering journal, January 1985

Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond journal, March 2000

Summation of large corrections to short-distance hadronic cross sections journal, January 1987

Renormalization-group improved prediction for Higgs production at hadron colliders journal, April 2009

Improving Jet Distributions with Effective Field Theory journal, October 2006

NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production journal, June 2012

Hard scattering factorization from effective field theory journal, July 2002

Non-global logarithms at finite N c beyond leading order journal, March 2015

Jet shapes with the broadening axis journal, April 2014

The non-Abelian exponentiation theorem for multiple Wilson lines journal, June 2013

Transverse momentum distribution in Drell-Yan pair and W and Z boson production journal, January 1985

A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory journal, May 2012

Effective field theory and matching in nonrelativistic gauge theories journal, January 1998

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

Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions journal, July 1989

Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution journal, August 2001

Weak radiative B-meson decay beyond leading logarithms journal, May 1997

The two-loop soft current in dimensional regularization journal, December 2013

Factorization and momentum-space resummation in deep-inelastic scattering journal, January 2007

Renormalization of the Wilson loops beyond the leading order journal, January 1987

Exact solution of BFKL equation in jet-physics journal, July 2004

Jet shapes and jet algorithms in SCET journal, November 2010

The anti- k t jet clustering algorithm journal, April 2008

The first calculation of fractional jets journal, May 2015

BFKL dynamics in jet evolution journal, November 2003

Intrinsic glue distribution at very small x journal, May 1997

When does the gluon reggeize? journal, May 2015

A precise determination of α s from LEP thrust data using effective field theory journal, July 2008

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC journal, September 2012

Boosted objects: a probe of beyond the standard model physics journal, June 2011

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC journal, September 2012

Operator expansion for high-energy scattering journal, March 1996

On the structure of infrared singularities of gauge-theory amplitudes journal, June 2009

Resummation of large logarithms in e+e− event shape distributions journal, October 1993

Transverse momentum moments of hadron distributions in QCD jets journal, November 1981

Away-from-jet energy flow journal, August 2002

Boosted objects and jet substructure at the LHC. Report of BOOST2012, held at IFIC Valencia, 23rd–27th of July 2012 journal, March 2014

Quantum Chromodynamics Test for Jets journal, December 1977

Factorization and NNLL Resummation for Higgs production with a jet veto journal, July 2012

On soft singularities at three loops and beyond journal, February 2010

The perturbative calculation of jet structure in e+e− annihilation journal, February 1981

Jet trimming journal, February 2010

Jet vetoing at the LHC journal, July 2009

Factorization and N3LLp+NNLO predictions for the Higgs cross section with a jet veto journal, October 2013

Soft-gluon resummation for Higgs boson production at hadron colliders journal, July 2003

Exponentiation of eikonal cross sections in nonabelian gauge theories journal, December 1983

Jet Substructure as a New Higgs-Search Channel at the Large Hadron Collider journal, June 2008

Soft gluons away from jets: distribution and correlation journal, June 2009

Small- x F 2 structure function of a nucleus including multiple Pomeron exchanges journal, June 1999

Soft drop journal, May 2014

On the QCD analysis of jet broadening journal, January 1998

Jet substructure at the Tevatron and LHC: new results, new tools, new benchmarks journal, May 2012

Super-leading logarithms in non-global observables in QCD: colour basis independent calculation
journal, September 2008

Energy and Color Flow in Dijet Rapidity Gaps
journal, October 1998

Relating e ⁺ e ⁻ annihilation to high energy scattering at weak and strong coupling
journal, November 2008

Single soft gluon emission at two loops
journal, November 2013

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

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
journal, February 2003

Toward multi-differential cross sections: measuring two angularities on a single jet
journal, September 2014

Webs in multiparton scattering using the replica trick
journal, November 2010

Identifying boosted objects with N-subjettiness
journal, March 2011

Heavy jet mass distribution in e+e− annihilation
journal, December 1991

Resummation of the jet broadening in DIS
journal, June 2002

$N$ Jettiness: An Inclusive Event Shape to Veto Jets
journal, August 2010

Double non-global logarithms in-n-out of jets
journal, January 2012

Enhanced nonperturbative effects in Z decays to hadrons
journal, August 2004

Higgs production with a central jet veto at NNLL+NNLO
journal, April 2011

Weak decays beyond leading logarithms
journal, October 1996

Invariant operators in collinear effective theory
journal, September 2001

Gauge fields as rings of glue
journal, January 1980

Maximizing boosted top identification by minimizing N-subjettiness
journal, February 2012

The renormalization group equation for the color glass condensate
journal, June 2001

Super-leading logarithms in non-global observables in QCD?
journal, August 2006

Resummed C-parameter distribution in e+e− annihilation
journal, May 1998

Energy correlation functions for jet substructure
journal, June 2013

Energy flow in interjet radiation
journal, May 2002

Jet observables without jet algorithms
journal, April 2014

Factorization for short distance hadron-hadron scattering
journal, January 1985

Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
journal, March 2000

Summation of large corrections to short-distance hadronic cross sections
journal, January 1987

Renormalization-group improved prediction for Higgs production at hadron colliders
journal, April 2009

Improving Jet Distributions with Effective Field Theory
journal, October 2006

NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
journal, June 2012

Hard scattering factorization from effective field theory
journal, July 2002

Non-global logarithms at finite N c beyond leading order
journal, March 2015

Jet shapes with the broadening axis
journal, April 2014

The non-Abelian exponentiation theorem for multiple Wilson lines
journal, June 2013

Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985

A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012

Effective field theory and matching in nonrelativistic gauge theories
journal, January 1998

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

Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions
journal, July 1989

Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution
journal, August 2001

Weak radiative B-meson decay beyond leading logarithms
journal, May 1997

The two-loop soft current in dimensional regularization
journal, December 2013

Factorization and momentum-space resummation in deep-inelastic scattering
journal, January 2007

Renormalization of the Wilson loops beyond the leading order
journal, January 1987

Exact solution of BFKL equation in jet-physics
journal, July 2004

Jet shapes and jet algorithms in SCET
journal, November 2010

The anti- k _t jet clustering algorithm
journal, April 2008

The first calculation of fractional jets
journal, May 2015

BFKL dynamics in jet evolution
journal, November 2003

Intrinsic glue distribution at very small $x$
journal, May 1997

When does the gluon reggeize?
journal, May 2015

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journal, July 2008

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012

Boosted objects: a probe of beyond the standard model physics
journal, June 2011

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012

Operator expansion for high-energy scattering
journal, March 1996

On the structure of infrared singularities of gauge-theory amplitudes
journal, June 2009

Resummation of large logarithms in e+e− event shape distributions
journal, October 1993

Transverse momentum moments of hadron distributions in QCD jets
journal, November 1981

Away-from-jet energy flow
journal, August 2002

Boosted objects and jet substructure at the LHC. Report of BOOST2012, held at IFIC Valencia, 23rd–27th of July 2012
journal, March 2014

Quantum Chromodynamics Test for Jets
journal, December 1977

Factorization and NNLL Resummation for Higgs production with a jet veto
journal, July 2012

On soft singularities at three loops and beyond
journal, February 2010

The perturbative calculation of jet structure in e+e− annihilation
journal, February 1981

Jet trimming
journal, February 2010

Jet vetoing at the LHC
journal, July 2009

Factorization and N3LLp+NNLO predictions for the Higgs cross section with a jet veto
journal, October 2013

Soft-gluon resummation for Higgs boson production at hadron colliders
journal, July 2003

Exponentiation of eikonal cross sections in nonabelian gauge theories
journal, December 1983

Jet Substructure as a New Higgs-Search Channel at the Large Hadron Collider
journal, June 2008

Soft gluons away from jets: distribution and correlation
journal, June 2009

Small- x $F_{2}$ structure function of a nucleus including multiple Pomeron exchanges
journal, June 1999

Soft drop
journal, May 2014

On the QCD analysis of jet broadening
journal, January 1998

Jet substructure at the Tevatron and LHC: new results, new tools, new benchmarks
journal, May 2012

Resummation of non-global QCD observables
journal, July 2001

Partonic distributions for large x and renormalization of Wilson loop
journal, September 1993

Jet broadening measures in e+e− annihilation
journal, December 1992