Determination of the QCD coupling from the static energy and the free energy

doi:10.1103/PhysRevD.100.114511

Title: Determination of the QCD coupling from the static energy and the free energy

Abstract

We present two determinations of the strong coupling α _s. The first one is from the static energy at three-loop accuracy, and may be considered an update of earlier determinations by some of us. The new analysis includes new lattice data at smaller lattice spacings, and reaches distances as short as 0.0237fm. We present a comprehensive and detailed estimate of the error sources that contribute to the uncertainty of the final result, α _s(M _Z) = 0.11660$$^{+0.00110}_{–0.00056}$$. The second determination is based on lattice data for the singlet free energy at finite temperature up to distances as small as 0.0081fm, from which we obtain α _s(M _Z) = 0.11638$$^{+0.00095}_{–0.00087}$$.

Authors:

Bazavov, Alexei; Brambilla, Nora; Garcia i Tormo, Xavier; Petreczky, Péter; Soto, Joan; Vairo, Antonio;

Publication Date:: 2019-12-18

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Contributing Org.:: TUMQCD Collaboration

OSTI Identifier:: 1579786

Alternate Identifier(s):: OSTI ID: 1583114

Report Number(s):: BNL-213516-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:: SC0012704; FG02-00ER41132

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 100; Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bazavov, Alexei, Brambilla, Nora, Garcia i Tormo, Xavier, Petreczky, Péter, Soto, Joan, Vairo, Antonio, and Weber, Johannes Heinrich. Determination of the QCD coupling from the static energy and the free energy.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevD.100.114511.

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                    Bazavov, Alexei, Brambilla, Nora, Garcia i Tormo, Xavier, Petreczky, Péter, Soto, Joan, Vairo, Antonio, & Weber, Johannes Heinrich. Determination of the QCD coupling from the static energy and the free energy.  United States.  doi:10.1103/PhysRevD.100.114511.

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                    Bazavov, Alexei, Brambilla, Nora, Garcia i Tormo, Xavier, Petreczky, Péter, Soto, Joan, Vairo, Antonio, and Weber, Johannes Heinrich. Wed .  
        "Determination of the QCD coupling from the static energy and the free energy".  United States.  doi:10.1103/PhysRevD.100.114511.

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@article{osti_1579786,

  title        = {Determination of the QCD coupling from the static energy and the free energy},

  author       = {Bazavov, Alexei and Brambilla, Nora and Garcia i Tormo, Xavier and Petreczky, Péter and Soto, Joan and Vairo, Antonio and Weber, Johannes Heinrich},

  abstractNote = {We present two determinations of the strong coupling αs. The first one is from the static energy at three-loop accuracy, and may be considered an update of earlier determinations by some of us. The new analysis includes new lattice data at smaller lattice spacings, and reaches distances as short as 0.0237fm. We present a comprehensive and detailed estimate of the error sources that contribute to the uncertainty of the final result, αs(MZ) = 0.11660$^{+0.00110}_{–0.00056}$. The second determination is based on lattice data for the singlet free energy at finite temperature up to distances as small as 0.0081fm, from which we obtain αs(MZ) = 0.11638$^{+0.00095}_{–0.00087}$.},

  doi          = {10.1103/PhysRevD.100.114511},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {12}

}

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DOI: 10.1103/PhysRevD.100.114511

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Works referenced in this record:

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Similar Records

Title: Determination of the QCD coupling from the static energy and the free energy

Abstract

Citation Formats

Review of Particle Physics journal, August 2018

Equation of state in 2 + 1 flavor QCD at high temperatures journal, January 2018

Color screening in ( 2 + 1 )-flavor QCD journal, September 2018

Polyakov loop correlator in perturbation theory journal, July 2017

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

Highly improved staggered quarks on the lattice with applications to charm physics journal, March 2007

Equation of state in ( 2 + 1 )-flavor QCD journal, November 2014

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Flavor symmetry and the static potential with hypercubic blocking journal, July 2001

Determination of α s from the QCD static energy journal, December 2012

Determination of α from static QCD potential with renormalon subtraction journal, February 2019

Determination of αs from static QCD potential: OPE with renormalon subtraction and lattice QCD journal, April 2019

REVIEW ON THE DETERMINATION OF α s FROM THE QCD STATIC ENERGY journal, October 2013

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Infrared behavior of the static potential in perturbative QCD journal, October 1999

The static potential in quantum chromodynamics journal, August 1977

The renormalization group improvement of the QCD static potentials journal, December 2000

Effective-field theories for heavy quarkonium journal, December 2005

QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy journal, August 2009

SU(3) Yang Mills theory at small distances and fine lattices journal, January 2018

QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter journal, September 2017

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Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass journal, September 2016

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Extraction of α s from radiative Υ ( 1 S ) decays journal, April 2007

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The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge journal, October 2017

Quark-antiquark potential in QCD journal, October 1977

How heavy must quarks BE in order to build coulombic bound states? journal, May 1980

The static potential in QCD to two loops journal, February 1999

Static QCD Potential at Three-Loop Order journal, March 2010

Three-Loop Static Potential journal, March 2010

Analytic three-loop static potential journal, September 2016

Evaluating the last missing ingredient for the three-loop quark static potential by differential equations journal, October 2016

Review of Particle Physics
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journal, January 2018

Color screening in ( $2 + 1$ )-flavor QCD
journal, September 2018

Polyakov loop correlator in perturbation theory
journal, July 2017

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

Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007

Equation of state in ( $2 + 1$ )-flavor QCD
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Equation of state in (2+1) flavor QCD at hightemperatures
conference, September 2019

Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001

Determination of $α_{s}$ from the QCD static energy
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Determination of α from static QCD potential with renormalon subtraction
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Determination of αs from static QCD potential: OPE with renormalon subtraction and lattice QCD
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REVIEW ON THE DETERMINATION OF α _s FROM THE QCD STATIC ENERGY
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Potential NRQCD: an effective theory for heavy quarkonium
journal, January 2000

Infrared behavior of the static potential in perturbative QCD
journal, October 1999

The static potential in quantum chromodynamics
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The renormalization group improvement of the QCD static potentials
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Effective-field theories for heavy quarkonium
journal, December 2005

QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy
journal, August 2009

SU(3) Yang Mills theory at small distances and fine lattices
journal, January 2018

QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter
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High-precision $c$ and $b$ masses, and QCD coupling from current-current correlators in lattice and continuum QCD
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The charm/bottom quark mass from heavy quarkonium at N3LO
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Extraction of $α_{s}$ from radiative $Υ (1 S)$ decays
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Chiral and deconfinement aspects of the QCD transition
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Quark number susceptibilities at high temperatures
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The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
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