Precise determination of αs from the C -parameter distribution

Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent; Stewart, Iain W.

doi:10.1103/physrevd.91.094018

Title: Precise determination of $α_{s}$ from the $C$ -parameter distribution

Abstract

We present a global fit for α_s (m_Z), analyzing the available C -parameter data measured at center-of-mass energies between Q = 35 and 207 GeV. The experimental data is compared to a N³ LL' + $$\mathscr{O}$$ (α$$3\atop{s}$$) + Ω₁ theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic parameter is its first moment Ω₁, which is defined in a scheme which eliminates the $$\mathscr{O}$$ (Λ_QCD) renormalon ambiguity. The resummation region plays a dominant role in the C -parameter spectrum, and in this region a fit for α_s (m_Z) and Ω₁ is sufficient. We find α_s (m_Z) = 0.1123 ± 0.0015 and Ω₁ = 0.421 ± 0.063 GeV with χ²/d . o . f . = 0.988 for 404 bins of data. These results agree with the prediction of universality for Ω₁ between thrust and C -parameter within 1- σ .

Authors:

Hoang, André H. ^[1]; Kolodrubetz, Daniel W. ^[2]; Mateu, Vicent ^[3]; Stewart, Iain W. ^[2]

Univ. of Vienna (Austria). Faculty of Physics, and Erwin Schrödinger International Inst. for Mathematical Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. of Vienna (Austria). Faculty of Physics

Publication Date:: Fri May 15 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:: 1505753

Alternate Identifier(s):: OSTI ID: 1179766

Grant/Contract Number:: SC0011090

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 91; Journal Issue: 9; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. Precise determination of αs from the C -parameter distribution.  United States: N. p., 2015. 
        Web.  doi:10.1103/physrevd.91.094018.

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                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, & Stewart, Iain W. Precise determination of αs from the C -parameter distribution.  United States.  https://doi.org/10.1103/physrevd.91.094018

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                    Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. 2015.  
        "Precise determination of αs from the C -parameter distribution".  United States.  https://doi.org/10.1103/physrevd.91.094018.  https://www.osti.gov/servlets/purl/1505753.

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@article{osti_1505753,

  title        = {Precise determination of αs from the C -parameter distribution},

  author       = {Hoang, André H. and Kolodrubetz, Daniel W. and Mateu, Vicent and Stewart, Iain W.},

  abstractNote = {We present a global fit for αs (mZ), analyzing the available C -parameter data measured at center-of-mass energies between Q = 35 and 207 GeV. The experimental data is compared to a N3 LL' + $\mathscr{O}$ (α$3\atop{s}$) + Ω1 theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic parameter is its first moment Ω1, which is defined in a scheme which eliminates the $\mathscr{O}$ (ΛQCD) renormalon ambiguity. The resummation region plays a dominant role in the C -parameter spectrum, and in this region a fit for αs (mZ) and Ω1 is sufficient. We find αs (mZ) = 0.1123 ± 0.0015 and Ω1 = 0.421 ± 0.063 GeV with χ2/d . o . f . = 0.988 for 404 bins of data. These results agree with the prediction of universality for Ω1 between thrust and C -parameter within 1- σ .},

  doi          = {10.1103/physrevd.91.094018},

  url          = {https://www.osti.gov/biblio/1505753},
  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  issn         = {1550-7998},

  number       = 9,

  volume       = 91,

  place        = {United States},

  year         = {Fri May 15 00:00:00 EDT 2015},

  month        = {Fri May 15 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

Matter Dependence of the Four-Loop Cusp Anomalous Dimension
journal, May 2019

Henn, J. M.; Peraro, T.; Stahlhofen, M.
Physical Review Letters, Vol. 122, Issue 20
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Determination of the strong coupling constant $$\alpha _s \left( m_Z \right) $$ α s m Z from measurements of the total cross section for top–antitop-quark production
journal, November 2017

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https://doi.org/10.1140/epjc/s10052-017-5340-5

Matter Dependence of the Four-Loop Cusp Anomalous Dimension
text, January 2019

Henn, J. M.; Peraro, T.; Stahlhofen, M.
American Physical Society
https://doi.org/10.5167/uzh-175226

Towards parton distribution functions with small-$x$ resummation: HELL 2.0
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Title: Precise determination of α s from the C -parameter distribution

Abstract

Citation Formats

Non-perturbative contribution to the thrust distribution in e + e − annihilation journal, December 2008

Second order logarithmic corrections to the Drell-Yan cross-section journal, December 1988

Energy dependence of event shapes and of αs at LEP 2 journal, June 1999

Parton distribution functions and benchmark cross sections at next-to-next-to-leading order journal, September 2012

Hadron masses and power corrections to event shapes journal, May 2001

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

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Review of Particle Physics journal, August 2014

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

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

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

High-precision quark masses and QCD coupling from n f = 4 lattice QCD journal, March 2015

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions journal, May 1986

NNLO moments of event shapes in e + e − annihilation journal, May 2009

C-parameter and jet broadening at PETRA energies journal, July 1999

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

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Quantum Chromodynamics Test for Jets journal, December 1977

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Determination of α s from the QCD static energy: An update journal, October 2014

Rapidity Renormalization Group journal, April 2012

Calculation of Event-Shape Parameters in e + e − Annihilation journal, October 1980

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

Precision thrust cumulant moments at N 3 LL journal, November 2012

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

Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution journal, January 2013

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

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

Studies of QCD at ${\rm e}^ + {\rm e}^-$ centre-of-mass energies between 91 and 209 GeV journal, July 2004

Studies of hadronic event structure in e+e- annihilation from 30 to 209GeV with the L3 detector journal, September 2004

Superinclusive cross sections journal, March 1978

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

Two-loop quark and gluon form factors in dimensional regularisation journal, September 2005

Factorization and resummation for jet broadening journal, October 2011

Invariant operators in collinear effective theory journal, September 2001

Precise Determination of the Strong Coupling Constant at NNLO in QCD from the Three-Jet Rate in Electron–Positron Annihilation at LEP journal, February 2010

Summing Sudakov logarithms in B → X s γ in effective field theory journal, December 2000

On the QCD analysis of jet broadening journal, January 1998

Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation journal, September 2007

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

NNLL Resummation for Jet Broadening journal, November 2012

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

Shape function effects in B → X s γ and B → X u l ν ¯ decays journal, August 2004

Enhanced Nonperturbative Effects through the Collinear Anomaly journal, May 2014

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

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Title: Precise determination of $α_{s}$ from the $C$ -parameter distribution

Non-perturbative contribution to the thrust distribution in e + e − annihilation
journal, December 2008

Second order logarithmic corrections to the Drell-Yan cross-section
journal, December 1988

Energy dependence of event shapes and of αs at LEP 2
journal, June 1999

Parton distribution functions and benchmark cross sections at next-to-next-to-leading order
journal, September 2012

Hadron masses and power corrections to event shapes
journal, May 2001

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

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

Factorization in leptonic radiative B→γeν decays
journal, January 2003

Review of Particle Physics
journal, August 2014

The C parameter distribution in e ⁺ e ⁻ annihilation
journal, August 2003

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

Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e ⁺ e ⁻ annihilations
journal, August 2009

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

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

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
journal, March 2015

Dimensional regularization of mass and infrared singularities in two-loop on-shell vertex functions
journal, May 1986

NNLO moments of event shapes in e ⁺ e ⁻ annihilation
journal, May 2009

C-parameter and jet broadening at PETRA energies
journal, July 1999

Quark and Gluon Form Factors to Three Loops
journal, May 2009

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

Hadronisation effects in event-shape moments
journal, March 2010

Analytic results for massless three-loop form factors
journal, April 2010

Quantum Chromodynamics Test for Jets
journal, December 1977

Uncertainties on α S in global PDF analyses and implications for predicted hadronic cross sections
journal, October 2009

Determination of $α_{s}$ from the QCD static energy: An update
journal, October 2014

Rapidity Renormalization Group
journal, April 2012

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journal, October 1980

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journal, August 2010

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journal, November 2012

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

Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution
journal, January 2013

Measurement of $α_{s}$ ( $M_{Z}^{2}$ ) from hadronic event observables at the $Z^{0}$ resonance
journal, February 1995

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

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journal, July 2004

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journal, September 2004

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journal, March 1978

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

Two-loop quark and gluon form factors in dimensional regularisation
journal, September 2005

Factorization and resummation for jet broadening
journal, October 2011

Invariant operators in collinear effective theory
journal, September 2001

Precise Determination of the Strong Coupling Constant at NNLO in QCD from the Three-Jet Rate in Electron–Positron Annihilation at LEP
journal, February 2010

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journal, December 2000

On the QCD analysis of jet broadening
journal, January 1998

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journal, September 2007

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

NNLL Resummation for Jet Broadening
journal, November 2012

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

Shape function effects in $\vec{B} X_{s} γ$ and $\vec{B} X_{u} l \bar{ν}$ decays
journal, August 2004

Enhanced Nonperturbative Effects through the Collinear Anomaly
journal, May 2014

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

First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e ⁺ e ⁻ annihilations
journal, February 2008

Tests of quantum chromo dynamics at e ⁺ e ⁻ colliders
journal, May 2006

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

Studies of hadronic event structure and comparisons with QCD models at theZ 0 resonance
journal, March 1992

NNLO corrections to event shapes in e ⁺ e ⁻ annihilation
journal, December 2007

Hard scattering factorization from effective field theory
journal, July 2002

Event shapes and jet rates in electron-positron annihilation at NNLO
journal, June 2009

EERAD3: Event shapes and jet rates in electron–positron annihilation at order $α_{s}^{3}$
journal, December 2014

$R$ evolution: Improving perturbative QCD
journal, July 2010

Jet shapes with the broadening axis
journal, April 2014

Strong coupling from the revised ALEPH data for hadronic $τ$ decays
journal, February 2015

Designing gapped soft functions for jet production
journal, March 2008

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

Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation
journal, October 2008

The calculation of the second order soft and virtual contributions to the Drell-Yan cross section
journal, June 1989

The quark form factor at higher orders
journal, August 2005

Calculation of the quark and gluon form factors to three loops in QCD
journal, June 2010

The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004

Renormalization of subleading dijet operators in soft-collinear effective theory
journal, December 2014

Oriented event shapes at N3LL + $ \mathcal{O}\left( {\alpha_{\mathrm{S}}^2} \right) $
journal, November 2013

Measurement of event shape and inclusive distributions at $\sqrt{s} =$ 130 and 136 GeV
journal, January 1997

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

Revisiting the global electroweak fit of the Standard Model and beyond with Gfitter
journal, March 2009

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

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

Review of Particle Physics
text, January 2008

First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e+e− annihilations
text, January 2008

Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron–positron annihilation at LEP
text, January 2010

Calculation of the quark and gluon form factors to three loops in QCD
text, January 2010