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

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

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:: 2019-12-01

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

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

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; 114511

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

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 11; 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; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

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:https://doi.org/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. Sun .  
        "Determination of the QCD coupling from the static energy and the free energy".  United States.  doi:https://doi.org/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: https://doi.org/10.1103/PhysRevD.100.114511

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

Abstract

Citation Formats

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

Bottom and charm mass determinations from global fits to Q Q ¯ $$ Q\overline{Q} $$ bound states at N3LO journal, January 2018

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

Quark number susceptibilities at high temperatures journal, November 2013

High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal, August 2010

Chiral and deconfinement aspects of the QCD transition journal, March 2012

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

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

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

Three-Loop Static Potential journal, March 2010

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

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

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

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

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

Effective-field theories for heavy quarkonium journal, December 2005

Polyakov loop correlator in perturbation theory journal, July 2017

Analytic three-loop static potential journal, September 2016

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

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

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

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

Potential NRQCD: an effective theory for heavy quarkonium journal, January 2000

Review of Particle Physics journal, August 2018

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

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

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

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

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

Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD journal, August 2019

Quark masses and strong coupling constant in 2 + 1 flavor QCD journal, August 2016

Quark-antiquark potential in QCD journal, October 1977

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

The five-loop beta function of Yang-Mills theory with fermions journal, February 2017

Strong Running Coupling from the Gauge Sector of Domain Wall Lattice QCD with Physical Quark Masses journal, April 2019

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

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

SU(3) Yang Mills theory at small distances and fine lattices text, January 2017

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

Bottom and charm mass determinations from global fits to Q Q ¯ $$ Q\overline{Q} $$ bound states at N3LO
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How heavy must quarks BE in order to build coulombic bound states?
journal, May 1980

Quark number susceptibilities at high temperatures
journal, November 2013

High-precision $c$ and $b$ masses, and QCD coupling from current-current correlators in lattice and continuum QCD
journal, August 2010

Chiral and deconfinement aspects of the QCD transition
journal, March 2012

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

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

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

Three-Loop Static Potential
journal, March 2010

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

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

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

Static QCD Potential at Three-Loop Order
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Infrared behavior of the static potential in perturbative QCD
journal, October 1999

Effective-field theories for heavy quarkonium
journal, December 2005

Polyakov loop correlator in perturbation theory
journal, July 2017

Analytic three-loop static potential
journal, September 2016

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
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QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter
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The renormalization group improvement of the QCD static potentials
journal, December 2000

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

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

Potential NRQCD: an effective theory for heavy quarkonium
journal, January 2000

Review of Particle Physics
journal, August 2018

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

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

Calibrating the naïve Cornell model with NRQCD
journal, April 2019

The static potential in quantum chromodynamics
journal, August 1977

The charm/bottom quark mass from heavy quarkonium at N3LO
journal, September 2018

Extraction of $α_{s}$ from radiative $Υ (1 S)$ decays
journal, April 2007

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

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

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

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

Strong coupling constant and heavy quark masses in ( $2 + 1$ )-flavor QCD
journal, August 2019

Quark masses and strong coupling constant in $2 + 1$ flavor QCD
journal, August 2016

Quark-antiquark potential in QCD
journal, October 1977

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

The five-loop beta function of Yang-Mills theory with fermions
journal, February 2017

Strong Running Coupling from the Gauge Sector of Domain Wall Lattice QCD with Physical Quark Masses
journal, April 2019

Determination of $α_{s}$ from the QCD static energy
journal, December 2012

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

SU(3) Yang Mills theory at small distances and fine lattices
text, January 2017