Singular behavior of jet substructure observables

Larkoski, Andrew J.; Moult, Ian

doi:10.1103/PhysRevD.93.014017

Title: Singular behavior of jet substructure observables

Abstract

Jet substructure observables play a central role at the Large Hadron Collider for identifying the boosted hadronic decay products of electroweak scale resonances. The complete description of these observables requires understanding both the limit in which hard substructure is resolved, as well as the limit of a jet with a single hard core. In this paper we study in detail the perturbative structure of two prominent jet substructure observables, N-subjettiness and the energy correlation functions, as measured on background QCD jets. In particular, we focus on the distinction between the limits in which two-prong structure is resolved or unresolved. Depending on the choice of subjet axes, we demonstrate that at fixed order, N-subjettiness can manifest myriad behaviors in the unresolved region: smooth tails, end-point singularities, or singularities in the physical region. The energy correlation functions, by contrast, only have non-singular perturbative tails extending to the end point. We discuss the effect of hadronization on the various observables with Monte Carlo simulation and demonstrate that the modeling of these effects with non-perturbative shape functions is highly dependent on the N-subjettiness axes definitions. Lastly, our study illustrates those regions of phase space that must be controlled for high-precision jet substructure calculations, andmore »« less

Authors:

Larkoski, Andrew J. ^[1]; Moult, Ian ^[2]

Harvard Univ., Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Wed Jan 20 00:00:00 EST 2016

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1236395

Alternate Identifier(s):: OSTI ID: 1235769

Report Number(s):: MIT-CTP-4725
Journal ID: ISSN 2470-0010; arXiv:1510.08459; TRN: US1600748

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; jets; N-subjettiness

Citation Formats


                    Larkoski, Andrew J., and Moult, Ian. Singular behavior of jet substructure observables.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.93.014017.

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                    Larkoski, Andrew J., & Moult, Ian. Singular behavior of jet substructure observables.  United States.  https://doi.org/10.1103/PhysRevD.93.014017

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                    Larkoski, Andrew J., and Moult, Ian. Wed .  
"Singular behavior of jet substructure observables".  United States.  https://doi.org/10.1103/PhysRevD.93.014017.  https://www.osti.gov/servlets/purl/1236395.

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@article{osti_1236395,

  title        = {Singular behavior of jet substructure observables},

  author       = {Larkoski, Andrew J. and Moult, Ian},

  abstractNote = {Jet substructure observables play a central role at the Large Hadron Collider for identifying the boosted hadronic decay products of electroweak scale resonances. The complete description of these observables requires understanding both the limit in which hard substructure is resolved, as well as the limit of a jet with a single hard core. In this paper we study in detail the perturbative structure of two prominent jet substructure observables, N-subjettiness and the energy correlation functions, as measured on background QCD jets. In particular, we focus on the distinction between the limits in which two-prong structure is resolved or unresolved. Depending on the choice of subjet axes, we demonstrate that at fixed order, N-subjettiness can manifest myriad behaviors in the unresolved region: smooth tails, end-point singularities, or singularities in the physical region. The energy correlation functions, by contrast, only have non-singular perturbative tails extending to the end point. We discuss the effect of hadronization on the various observables with Monte Carlo simulation and demonstrate that the modeling of these effects with non-perturbative shape functions is highly dependent on the N-subjettiness axes definitions. Lastly, our study illustrates those regions of phase space that must be controlled for high-precision jet substructure calculations, and emphasizes how such calculations can be facilitated by designing substructure observables with simple singular structures.},

  doi          = {10.1103/PhysRevD.93.014017},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 93,

  place        = {United States},

  year         = {Wed Jan 20 00:00:00 EST 2016},

  month        = {Wed Jan 20 00:00:00 EST 2016}

}

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Title: Singular behavior of jet substructure observables

Abstract

Citation Formats

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

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

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

Towards an understanding of the correlations in jet substructure: Report of BOOST2013, hosted by the University of Arizona, 12th–16th of August 2013 journal, September 2015

ATLAS measurements of the properties of jets for boosted particle searches journal, October 2012

Jet mass and substructure of inclusive jets in $ \sqrt {s} = 7\;{\text{TeV}} $ pp collisions with the ATLAS experiment journal, May 2012

Performance of jet substructure techniques for large-R jets in proton-proton collisions at $ \sqrt{s}=7 $ TeV using the ATLAS detector journal, September 2013

Measurement of jet shapes in top-quark pair events at $\sqrt{s} = 7 \ \mbox{TeV}$ using the ATLAS detector journal, December 2013

Light-quark and gluon jet discrimination in $$pp$$ p p collisions at $$\sqrt{s}=7\mathrm {\ TeV}$$ s = 7 TeV with the ATLAS detector journal, August 2014

Measurement of the cross-section of high transverse momentum vector bosons reconstructed as single jets and studies of jet substructure in pp collisions at $\sqrt{s}$ = 7 TeV with the ATLAS detector journal, November 2014

Precision Jet Substructure from Boosted Event Shapes journal, August 2012

Three-prong distribution of massive narrow QCD jets journal, May 2013

Towards an understanding of jet substructure journal, September 2013

Jet substructure with analytical methods journal, November 2013

Gaining (mutual) information about quark/gluon discrimination journal, November 2014

On jet substructure methods for signal jets journal, August 2015

Jet Charge at the LHC journal, May 2013

Calculating the charge of a jet journal, November 2012

Identifying boosted objects with N-subjettiness journal, March 2011

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

Energy correlation functions for jet substructure journal, June 2013

Power counting to better jet observables journal, December 2014

Summing soft emission in QCD journal, April 1982

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

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

Resummation of the QCD perturbative series for hard processes journal, November 1989

QCD coherent branching and semi-inclusive processes at large χ journal, February 1991

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

Thrust distribution in e+e− annihilation journal, July 1991

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

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

The resummation of soft gluons in hadronic collisions journal, October 1996

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

The back-to-back region in energy–energy correlation journal, January 2005

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

Thrust at N 3 LL with power corrections and a precision global fit for α s ( m Z ) journal, April 2011

Resummation of heavy jet mass and comparison to LEP data journal, August 2010

NNLL Resummation for Jet Broadening journal, November 2012

C -parameter distribution at N 3 LL ′ including power corrections journal, May 2015

A general method for the resummation of event-shape distributions in e + e − annihilation journal, May 2015

Infrared safe but infinite: soft-gluon divergences inside the physical region journal, October 1997

Longitudinally-invariant k⊥-clustering algorithms for hadron-hadron collisions journal, September 1993

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

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

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

Power corrections to event shapes with mass-dependent operators journal, January 2013

Better jet clustering algorithms journal, August 1997

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

Jet observables without jet algorithms journal, April 2014

Jet shapes with the broadening axis journal, April 2014

Aspects of jets at 100 TeV journal, August 2014

Resolving boosted jets with XCone journal, December 2015

Unsafe but calculable: ratios of angularities in perturbative QCD journal, September 2013

Sudakov safety in perturbative QCD journal, June 2015

Factorization and resummation for dijet invariant mass spectra journal, April 2012

Non-global logarithms, factorization, and the soft substructure of jets journal, September 2015

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

On the QCD analysis of jet broadening journal, January 1998

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

Factorization and resummation for jet broadening journal, October 2011

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

Next-to-Leading Order Calculation of Four-Jet Shape Variables journal, November 1997

Next-to-leading order calculation of four-jet observables in electron-positron annihilation journal, December 1998

Multijet Cross Sections in Deep Inelastic Scattering at Next-to-Leading Order journal, August 2001

Three-Jet Cross Sections in Hadron-Hadron Collisions at Next-To-Leading Order journal, March 2002

Next-to-leading order calculation of three-jet observables in hadron-hadron collisions journal, November 2003

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

Helicity-dependent showers and matching with VINCIA journal, March 2013

Nondeterministic Approach to Tree-Based Jet Substructure journal, May 2012

Jets from Quantum Chromodynamics journal, December 1977

Superinclusive cross sections journal, March 1978

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

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

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

Towards an understanding of the correlations in jet substructure: Report of BOOST2013, hosted by the University of Arizona, 12th–16th of August 2013
journal, September 2015

ATLAS measurements of the properties of jets for boosted particle searches
journal, October 2012

Jet mass and substructure of inclusive jets in $ \sqrt {s} = 7\;{\text{TeV}} $ pp collisions with the ATLAS experiment
journal, May 2012

Performance of jet substructure techniques for large-R jets in proton-proton collisions at $ \sqrt{s}=7 $ TeV using the ATLAS detector
journal, September 2013

Measurement of jet shapes in top-quark pair events at $\sqrt{s} = 7 \ \mbox{TeV}$ using the ATLAS detector
journal, December 2013

Light-quark and gluon jet discrimination in $$pp$$ p p collisions at $$\sqrt{s}=7\mathrm {\ TeV}$$ s = 7 TeV with the ATLAS detector
journal, August 2014

Measurement of the cross-section of high transverse momentum vector bosons reconstructed as single jets and studies of jet substructure in pp collisions at $\sqrt{s}$ = 7 TeV with the ATLAS detector
journal, November 2014

Precision Jet Substructure from Boosted Event Shapes
journal, August 2012

Three-prong distribution of massive narrow QCD jets
journal, May 2013

Towards an understanding of jet substructure
journal, September 2013

Jet substructure with analytical methods
journal, November 2013

Gaining (mutual) information about quark/gluon discrimination
journal, November 2014

On jet substructure methods for signal jets
journal, August 2015

Jet Charge at the LHC
journal, May 2013

Calculating the charge of a jet
journal, November 2012

Identifying boosted objects with N-subjettiness
journal, March 2011

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

Energy correlation functions for jet substructure
journal, June 2013

Power counting to better jet observables
journal, December 2014

Summing soft emission in QCD
journal, April 1982

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

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

Resummation of the QCD perturbative series for hard processes
journal, November 1989

QCD coherent branching and semi-inclusive processes at large χ
journal, February 1991

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

Thrust distribution in e+e− annihilation
journal, July 1991

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

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

The resummation of soft gluons in hadronic collisions
journal, October 1996

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

The back-to-back region in energy–energy correlation
journal, January 2005

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

Thrust at $N^{3} LL$ with power corrections and a precision global fit for $α_{s} (m_{Z})$
journal, April 2011

Resummation of heavy jet mass and comparison to LEP data
journal, August 2010

NNLL Resummation for Jet Broadening
journal, November 2012

$C$ -parameter distribution at $N^{3} {LL}^{'}$ including power corrections
journal, May 2015

A general method for the resummation of event-shape distributions in e + e − annihilation
journal, May 2015

Infrared safe but infinite: soft-gluon divergences inside the physical region
journal, October 1997

Longitudinally-invariant k⊥-clustering algorithms for hadron-hadron collisions
journal, September 1993

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

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

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

Power corrections to event shapes with mass-dependent operators
journal, January 2013

Better jet clustering algorithms
journal, August 1997

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

Jet observables without jet algorithms
journal, April 2014

Jet shapes with the broadening axis
journal, April 2014

Aspects of jets at 100 TeV
journal, August 2014

Resolving boosted jets with XCone
journal, December 2015

Unsafe but calculable: ratios of angularities in perturbative QCD
journal, September 2013

Sudakov safety in perturbative QCD
journal, June 2015

Factorization and resummation for dijet invariant mass spectra
journal, April 2012

Non-global logarithms, factorization, and the soft substructure of jets
journal, September 2015

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

On the QCD analysis of jet broadening
journal, January 1998

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

Factorization and resummation for jet broadening
journal, October 2011

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

Next-to-Leading Order Calculation of Four-Jet Shape Variables
journal, November 1997

Next-to-leading order calculation of four-jet observables in electron-positron annihilation
journal, December 1998

Multijet Cross Sections in Deep Inelastic Scattering at Next-to-Leading Order
journal, August 2001

Three-Jet Cross Sections in Hadron-Hadron Collisions at Next-To-Leading Order
journal, March 2002

Next-to-leading order calculation of three-jet observables in hadron-hadron collisions
journal, November 2003

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

Helicity-dependent showers and matching with VINCIA
journal, March 2013

Nondeterministic Approach to Tree-Based Jet Substructure
journal, May 2012

Jets from Quantum Chromodynamics
journal, December 1977

Superinclusive cross sections
journal, March 1978

Tensor analysis of hadronic jets in quantum chromodynamics
journal, December 1979

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

Event shapes in e+e− annihilation
journal, March 1979