Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD

Dixon, Lance J.; Luo, Ming-xing; Shtabovenko, Vladyslav; Yang, Tong-Zhi; Zhu, Hua Xing

doi:10.1103/PhysRevLett.120.102001

Title: Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD

Abstract

Here, the energy-energy correlation (EEC) between two detectors in e⁺e^– annihilation was computed analytically at leading order in QCD almost 40 years ago, and numerically at next-to-leading order (NLO) starting in the 1980s. We present the first analytical result for the EEC at NLO, which is remarkably simple, and facilitates analytical study of the perturbative structure of the EEC. We provide the expansion of the EEC in the collinear and back-to-back regions through next-to-leading power, information which should aid resummation in these regions.

Authors:: Dixon, Lance J.; Luo, Ming-xing; Shtabovenko, Vladyslav; Yang, Tong-Zhi; Zhu, Hua Xing

Publication Date:: 2018-03-09

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1425235

Alternate Identifier(s):: OSTI ID: 1437232

Report Number(s):: SLAC-PUB-17203
Journal ID: ISSN 0031-9007; PRLTAO; 102001

Grant/Contract Number:: AC02–76SF00515; 11135006; 11275168; 11422544; 11375151; 11535002; 2017QNA3007

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Dixon, Lance J., Luo, Ming-xing, Shtabovenko, Vladyslav, Yang, Tong-Zhi, and Zhu, Hua Xing. Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.120.102001.

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                    Dixon, Lance J., Luo, Ming-xing, Shtabovenko, Vladyslav, Yang, Tong-Zhi, & Zhu, Hua Xing. Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD.  United States.  https://doi.org/10.1103/PhysRevLett.120.102001

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                    Dixon, Lance J., Luo, Ming-xing, Shtabovenko, Vladyslav, Yang, Tong-Zhi, and Zhu, Hua Xing. Fri .  
"Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD".  United States.  https://doi.org/10.1103/PhysRevLett.120.102001.

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@article{osti_1425235,

  title        = {Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD},

  author       = {Dixon, Lance J. and Luo, Ming-xing and Shtabovenko, Vladyslav and Yang, Tong-Zhi and Zhu, Hua Xing},

  abstractNote = {Here, the energy-energy correlation (EEC) between two detectors in e+e– annihilation was computed analytically at leading order in QCD almost 40 years ago, and numerically at next-to-leading order (NLO) starting in the 1980s. We present the first analytical result for the EEC at NLO, which is remarkably simple, and facilitates analytical study of the perturbative structure of the EEC. We provide the expansion of the EEC in the collinear and back-to-back regions through next-to-leading power, information which should aid resummation in these regions.},

  doi          = {10.1103/PhysRevLett.120.102001},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 120,

  place        = {United States},

  year         = {2018},

  month        = {3}

}

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FIG. 1: Analytical results for sin²(χ)B are compared with numerical results from Event2. The Event2 prediction is obtained after sampling over 10 billion points, with the internal CUTOFF set to 10⁻¹⁴. Error bars represent Event2 statistical uncertainties.

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Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit
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Gao, AnJie; Li, Hai Tao; Moult, Ian
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Title: Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD

Abstract

Citation Formats

Figures / Tables:

Dilepton Rapidity Distribution in the Drell-Yan Process at Next-to-Next-to-Leading Order in QCD journal, October 2003

The energy-energy correlation function revisited journal, January 1995

Integration by parts: The algorithm to calculate β-functions in 4 loops journal, November 1981

From correlation functions to event shapes journal, July 2014

Automatic Feynman Graph Generation journal, April 1993

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy journal, October 2016

Non-perturbative effects in the energy-energy correlation journal, July 1999

Multiloop Integrals in Dimensional Regularization Made Simple journal, June 2013

An O(αs)2 calculation of energy-energy correlation in e+e− annihilation and comparison with experimental data journal, December 1982

A simple algorithm for QCD jets journal, September 1978

Higgs boson production at hadron colliders in NNLO QCD journal, December 2002

The two-loop QCD matrix element for e+e−→3 jets journal, April 2002

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach journal, January 2011

A general algorithm for calculating jet cross sections in NLO QCD journal, February 1997

Energy-Energy Correlations in N = 4 Supersymmetric Yang-Mills Theory journal, February 2014

HPL, a Mathematica implementation of the harmonic polylogarithms journal, February 2006

Higher-twist corrections to gluon TMD factorization journal, July 2017

On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections journal, November 2008

A new calculation of the NLO energy-energy correlation function journal, February 1997

Conformal collider physics: energy and charge correlations journal, May 2008

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

Non-abelian factorisation for next-to-leading-power threshold logarithms journal, December 2016

Four-particle phase space integrals in massless QCD journal, March 2004

Measurement of α s ( M Z 2 ) from hadronic event observables at the Z 0 resonance journal, February 1995

A determination of? s( $$M_{Z^0 } $$ ) at LEP using resummed QCD calculations journal, March 1993

Back-to-back jets in QCD journal, December 1981

Fixed order perturbation theory and leading logarithms in energy-energy correlations journal, February 1984

A subleading operator basis and matching for gg → H journal, July 2017

Energy Correlations in Electron-Positron Annihilation: Testing Quantum Chromodynamics journal, December 1978

Differential equations method. New technique for massive Feynman diagram calculation journal, January 1991

Harmonic Polylogarithms journal, February 2000

Energy-energy correlations to second order in quantum chromodynamics journal, December 1983

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

A theorem on analytical calculability of 4-loop renormalization group functions journal, March 1981

A complete basis of helicity operators for subleading factorization journal, November 2017

Two-loop master integrals for jets: the planar topologies journal, May 2001

Algorithm FIRE—Feynman Integral REduction journal, October 2008

Higher order QCD corrections to the energy-energy correlation function journal, June 1984

Subleading power corrections for N -jettiness subtractions journal, April 2017

Energy-energy correlations in e+e− annihilation journal, April 1984

Energy–energy correlation in electron–positron annihilation at NNLL + NNLO accuracy journal, November 2017

Fuchsia : A tool for reducing differential equations for Feynman master integrals to epsilon form journal, October 2017

LiteRed 1.4: a powerful tool for reduction of multiloop integrals journal, June 2014

Second order corrections to the energy-energy correlation function in quantum chromodynamics journal, December 1982

Theoretical studies of energy-energy correlation ine + e? annihilation journal, September 1989

N -jettiness subtractions for g g → H at subleading power journal, January 2018

FIRE5: A C++ implementation of Feynman Integral REduction journal, April 2015

Power corrections in the N -jettiness subtraction scheme journal, March 2017

On the transverse spread of QCD jets journal, January 1979

The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order journal, June 1996

Precision Calculation of the Next-to-Leading Order Energy-Energy Correlation Function journal, May 1995

Transverse parton distribution and fragmentation functions at NNLO: the quark case journal, October 2019

Subleading power factorization with radiative functions journal, November 2019

Collinear limit of the energy-energy correlator journal, July 2019

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit journal, August 2019

Dilepton Rapidity Distribution in the Drell-Yan Process at Next-to-Next-to-Leading Order in QCD
journal, October 2003

The energy-energy correlation function revisited
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Integration by parts: The algorithm to calculate β-functions in 4 loops
journal, November 1981

From correlation functions to event shapes
journal, July 2014

Automatic Feynman Graph Generation
journal, April 1993

Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy
journal, October 2016

Non-perturbative effects in the energy-energy correlation
journal, July 1999

Multiloop Integrals in Dimensional Regularization Made Simple
journal, June 2013

An O(αs)2 calculation of energy-energy correlation in e+e− annihilation and comparison with experimental data
journal, December 1982

A simple algorithm for QCD jets
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Higgs boson production at hadron colliders in NNLO QCD
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The two-loop QCD matrix element for e+e−→3 jets
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Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
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A general algorithm for calculating jet cross sections in NLO QCD
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Energy-Energy Correlations in $N = 4$ Supersymmetric Yang-Mills Theory
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HPL, a Mathematica implementation of the harmonic polylogarithms
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Higher-twist corrections to gluon TMD factorization
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A new calculation of the NLO energy-energy correlation function
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Conformal collider physics: energy and charge correlations
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The perturbative calculation of jet structure in e+e− annihilation
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Non-abelian factorisation for next-to-leading-power threshold logarithms
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Four-particle phase space integrals in massless QCD
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Measurement of $α_{s}$ ( $M_{Z}^{2}$ ) from hadronic event observables at the $Z^{0}$ resonance
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A determination of? s( $$M_{Z^0 } $$ ) at LEP using resummed QCD calculations
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Back-to-back jets in QCD
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Fixed order perturbation theory and leading logarithms in energy-energy correlations
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A subleading operator basis and matching for gg → H
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Energy Correlations in Electron-Positron Annihilation: Testing Quantum Chromodynamics
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Differential equations method. New technique for massive Feynman diagram calculation
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Harmonic Polylogarithms
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Energy-energy correlations to second order in quantum chromodynamics
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The back-to-back region in energy–energy correlation
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A theorem on analytical calculability of 4-loop renormalization group functions
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A complete basis of helicity operators for subleading factorization
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Two-loop master integrals for jets: the planar topologies
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Algorithm FIRE—Feynman Integral REduction
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Higher order QCD corrections to the energy-energy correlation function
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Subleading power corrections for $N$ -jettiness subtractions
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Energy-energy correlations in e+e− annihilation
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Energy–energy correlation in electron–positron annihilation at NNLL + NNLO accuracy
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Fuchsia : A tool for reducing differential equations for Feynman master integrals to epsilon form
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LiteRed 1.4: a powerful tool for reduction of multiloop integrals
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Second order corrections to the energy-energy correlation function in quantum chromodynamics
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Theoretical studies of energy-energy correlation ine + e? annihilation
journal, September 1989

$N$ -jettiness subtractions for $g g \to H$ at subleading power
journal, January 2018

FIRE5: A C++ implementation of Feynman Integral REduction
journal, April 2015

Power corrections in the N -jettiness subtraction scheme
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On the transverse spread of QCD jets
journal, January 1979

The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order
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Precision Calculation of the Next-to-Leading Order Energy-Energy Correlation Function
journal, May 1995

Transverse parton distribution and fragmentation functions at NNLO: the quark case
journal, October 2019

Subleading power factorization with radiative functions
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Collinear limit of the energy-energy correlator
journal, July 2019

Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit
journal, August 2019