QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter

Bruno, Mattia; Brida, Mattia Dalla; Fritzsch, Patrick; Korzec, Tomasz; Ramos, Alberto; Schaefer, Stefan; Simma, Hubert; Sint, Stefan; Sommer, Rainer

doi:10.1103/PhysRevLett.119.102001

Title: QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter

Abstract

We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using experimental input values for the masses and decay constants of the pion and the kaon, we obtain Λ(3)MS=341(12) MeV. The nonperturbative running up to very high energies guarantees that systematic effects associated with perturbation theory are well under control. Using the four-loop prediction for Λ(5)MS/Λ(3)MS yields α(5)MS(mZ)=0.11852(84).

Authors:: Bruno, Mattia; Brida, Mattia Dalla; Fritzsch, Patrick; Korzec, Tomasz; Ramos, Alberto; Schaefer, Stefan; Simma, Hubert; Sint, Stefan; Sommer, Rainer; ALPHA Collaboration

Publication Date:: Fri Sep 08 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Org.:: ALPHA Collaboration

OSTI Identifier:: 1380060

Alternate Identifier(s):: OSTI ID: 1426437

Report Number(s):: BNL-114486-2017-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; 102001

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 119 Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, and ALPHA Collaboration. QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.119.102001.

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                    Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, & ALPHA Collaboration. QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter.  United States.  https://doi.org/10.1103/PhysRevLett.119.102001

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                    Bruno, Mattia, Brida, Mattia Dalla, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Schaefer, Stefan, Simma, Hubert, Sint, Stefan, Sommer, Rainer, and ALPHA Collaboration. Fri .  
"QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter".  United States.  https://doi.org/10.1103/PhysRevLett.119.102001.

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@article{osti_1380060,

  title        = {QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter},

  author       = {Bruno, Mattia and Brida, Mattia Dalla and Fritzsch, Patrick and Korzec, Tomasz and Ramos, Alberto and Schaefer, Stefan and Simma, Hubert and Sint, Stefan and Sommer, Rainer and ALPHA Collaboration},

  abstractNote = {We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using experimental input values for the masses and decay constants of the pion and the kaon, we obtain Λ(3)MS=341(12) MeV. The nonperturbative running up to very high energies guarantees that systematic effects associated with perturbation theory are well under control. Using the four-loop prediction for Λ(5)MS/Λ(3)MS yields α(5)MS(mZ)=0.11852(84).},

  doi          = {10.1103/PhysRevLett.119.102001},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 119,

  place        = {United States},

  year         = {Fri Sep 08 00:00:00 EDT 2017},

  month        = {Fri Sep 08 00:00:00 EDT 2017}

}

Copy to clipboard

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Cited by: 56 works

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Figures / Tables:

FIG. 1: The shaded area shows the $a$ > 0.04 fm region of large volume results which dominate the present PDG and FLAG estimates of α_{$\overline{MS}$} (μ). The boundary of the shaded area is determined by α_{$\overline{MS}$} (μ) evaluated at two-loop order for N$_f$ = 3 and Λ$\frac{(3)}{MS}$ = 341more »

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Determination of $Λ_{\bar{MS}}^{(n_{f} = 2)}$ and analytic parametrization of the static quark-antiquark potential
journal, December 2018

Karbstein, Felix; Wagner, Marc; Weber, Michelle
Physical Review D, Vol. 98, Issue 11
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Light-cone distribution amplitudes of octet baryons from lattice QCD
journal, July 2019

Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
The European Physical Journal A, Vol. 55, Issue 7
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Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
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Determination of $Λ_{\bar{MS}}^{(n_{f} = 2)}$ and analytic parametrization of the static quark-antiquark potential
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Light-cone distribution amplitudes of octet baryons from lattice QCD
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Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
The European Physical Journal A, Vol. 55, Issue 7
DOI: 10.1140/epja/i2019-12803-6

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
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Title: QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter

Abstract

Citation Formats

Figures / Tables:

New Approach to the Renormalization Group journal, November 1973

Four-loop decoupling relations for the strong coupling journal, January 2006

Review of Particle Physics journal, October 2016

The four-loop β-function in quantum chromodynamics journal, May 1997

Critical slowing down and error analysis in lattice QCD simulations journal, April 2011

Monte Carlo errors with less errors journal, January 2004

Decoupling of heavy quarks in the minimal subtraction scheme journal, April 1982

Renormalization-prescription dependence of the quantum-chromodynamic coupling constant journal, September 1979

A numerical method to compute the running coupling in asymptotically free theories journal, July 1991

Lattice QCD with open boundary conditions and twisted-mass reweighting journal, March 2013

Towards the five-loop Beta function for a general gauge group journal, July 2016

Five-Loop Running of the QCD Coupling Constant journal, February 2017

Non-perturbative computation of the strong coupling constant on the lattice journal, April 2015

Improved bilinears in lattice QCD with nondegenerate quarks journal, February 2006

The gradient flow coupling in the Schrödinger functional journal, October 2013

Universality and the approach to the continuum limit in lattice gauge theory journal, March 1995

Tuning the strange quark mass in lattice simulations journal, June 2010

Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD journal, April 1997

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

Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories journal, December 1978

Two-loop computation of the Schrödinger functional in lattice QCD journal, June 2000

A precise determination of the running coupling in the SU(3) Yang-Mills theory journal, January 1994

Slow running of the gradient flow coupling from 200 MeV to 4 GeV in N f = 3 QCD journal, January 2017

Chiral symmetry and O(a) improvement in lattice QCD journal, October 1996

Simultaneous decoupling of bottom and charm quarks journal, September 2011

The four-loop QCD β-function and anomalous dimensions journal, March 2005

Two-loop computation of the Schrödinger functional in pure SU(3) lattice gauge theory journal, February 1999

Erratum to “Monte Carlo errors with less errors” [Comput. Phys. Comm. 156 (2004) 143–153] journal, March 2007

On the Schrödinger functional in QCD journal, June 1994

The Yang-Mills gradient flow in finite volume journal, November 2012

A critical appraisal and evaluation of modern PDFs journal, August 2016

Determination of the QCD Λ Parameter and the Accuracy of Perturbation Theory at High Energies journal, October 2016

Erratum to “decoupling of heavy quarks in the minimal subtraction scheme” [Nucl. Phys. B 197 (1982) 228–236] journal, March 1998

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) journal, February 2017

Perturbative analysis of the gradient flow in non-abelian gauge theories journal, February 2011

QCD decoupling at four loops journal, June 2006

Effects of Heavy Sea Quarks at Low Energies journal, March 2015

Improvement of N f = 3 lattice QCD with Wilson fermions and tree-level improved gauge action journal, September 2013

Effective gauge theories journal, March 1980

Measurement and QCD analysis of double-differential inclusive jet cross sections in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV and cross section ratios to 2.76 and 7 TeV journal, March 2017

The Schrödinger functional — a renormalizable probe for non-abelian gauge theories journal, October 1992

The running coupling from the QCD Schrödinger functional: a one-loop analysis journal, April 1996

Erratum to “Two loop computation of the Schrödinger functional in lattice QCD” journal, April 2001

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

Setting the scale for the CLS 2 + 1 flavor ensembles journal, April 2017

Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions journal, February 2015

Erratum to: “Two loop computation of the Schrödinger functional in lattice QCD” journal, August 2001

Non-perturbative renormalization of lattice QCD at all scales journal, April 1996

Precise determination of the strong coupling constant in N f = 2+1 lattice QCD with the Schrödinger functional scheme journal, October 2009

Simulation of QCD with N$_f$ = 2 + 1 flavors of non-perturbatively improved Wilson fermions text, January 2015

Determination of Λ MS ¯ ( n f = 2 ) and analytic parametrization of the static quark-antiquark potential journal, December 2018

Light-cone distribution amplitudes of octet baryons from lattice QCD journal, July 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration journal, July 2018

QCD in a moving frame: an exploratory study journal, January 2018

Determination of Λ MS ¯ ( n f = 2 ) and analytic parametrization of the static quark-antiquark potential journal, December 2018

Light-cone distribution amplitudes of octet baryons from lattice QCD journal, July 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration journal, July 2018

Asymptotic behavior of cutoff effects in Yang–Mills theory and in Wilson’s lattice QCD journal, March 2020

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

FLAG Review 2019 text, January 2019

Title: QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter

New Approach to the Renormalization Group
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Four-loop decoupling relations for the strong coupling
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Review of Particle Physics
journal, October 2016

The four-loop β-function in quantum chromodynamics
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Critical slowing down and error analysis in lattice QCD simulations
journal, April 2011

Monte Carlo errors with less errors
journal, January 2004

Decoupling of heavy quarks in the minimal subtraction scheme
journal, April 1982

Renormalization-prescription dependence of the quantum-chromodynamic coupling constant
journal, September 1979

A numerical method to compute the running coupling in asymptotically free theories
journal, July 1991

Lattice QCD with open boundary conditions and twisted-mass reweighting
journal, March 2013

Towards the five-loop Beta function for a general gauge group
journal, July 2016

Five-Loop Running of the QCD Coupling Constant
journal, February 2017

Non-perturbative computation of the strong coupling constant on the lattice
journal, April 2015

Improved bilinears in lattice QCD with nondegenerate quarks
journal, February 2006

The gradient flow coupling in the Schrödinger functional
journal, October 2013

Universality and the approach to the continuum limit in lattice gauge theory
journal, March 1995

Tuning the strange quark mass in lattice simulations
journal, June 2010

Non-perturbative determination of the axial current normalization constant in 0(a) improved lattice QCD
journal, April 1997

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

Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
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Two-loop computation of the Schrödinger functional in lattice QCD
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A precise determination of the running coupling in the SU(3) Yang-Mills theory
journal, January 1994

Slow running of the gradient flow coupling from 200 MeV to 4 GeV in $N_{f} = 3$ QCD
journal, January 2017

Chiral symmetry and O(a) improvement in lattice QCD
journal, October 1996

Simultaneous decoupling of bottom and charm quarks
journal, September 2011

The four-loop QCD β-function and anomalous dimensions
journal, March 2005

Two-loop computation of the Schrödinger functional in pure SU(3) lattice gauge theory
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Erratum to “Monte Carlo errors with less errors” [Comput. Phys. Comm. 156 (2004) 143–153]
journal, March 2007

On the Schrödinger functional in QCD
journal, June 1994

The Yang-Mills gradient flow in finite volume
journal, November 2012

A critical appraisal and evaluation of modern PDFs
journal, August 2016

Determination of the QCD $Λ$ Parameter and the Accuracy of Perturbation Theory at High Energies
journal, October 2016

Erratum to “decoupling of heavy quarks in the minimal subtraction scheme” [Nucl. Phys. B 197 (1982) 228–236]
journal, March 1998

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017

Perturbative analysis of the gradient flow in non-abelian gauge theories
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QCD decoupling at four loops
journal, June 2006

Effects of Heavy Sea Quarks at Low Energies
journal, March 2015

Improvement of $N_{f} = 3$ lattice QCD with Wilson fermions and tree-level improved gauge action
journal, September 2013

Effective gauge theories
journal, March 1980

Measurement and QCD analysis of double-differential inclusive jet cross sections in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV and cross section ratios to 2.76 and 7 TeV
journal, March 2017

The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
journal, October 1992

The running coupling from the QCD Schrödinger functional: a one-loop analysis
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Erratum to “Two loop computation of the Schrödinger functional in lattice QCD”
journal, April 2001

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

Setting the scale for the CLS $2 + 1$ flavor ensembles
journal, April 2017

Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions
journal, February 2015

Erratum to: “Two loop computation of the Schrödinger functional in lattice QCD”
journal, August 2001

Non-perturbative renormalization of lattice QCD at all scales
journal, April 1996

Precise determination of the strong coupling constant in N _f = 2+1 lattice QCD with the Schrödinger functional scheme
journal, October 2009

Simulation of QCD with N$_f$ = 2 + 1 flavors of non-perturbatively improved Wilson fermions
text, January 2015

Determination of $Λ_{\bar{MS}}^{(n_{f} = 2)}$ and analytic parametrization of the static quark-antiquark potential
journal, December 2018

Light-cone distribution amplitudes of octet baryons from lattice QCD
journal, July 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
journal, July 2018

QCD in a moving frame: an exploratory study
journal, January 2018

Determination of $Λ_{\bar{MS}}^{(n_{f} = 2)}$ and analytic parametrization of the static quark-antiquark potential
journal, December 2018

Light-cone distribution amplitudes of octet baryons from lattice QCD
journal, July 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
journal, July 2018

Asymptotic behavior of cutoff effects in Yang–Mills theory and in Wilson’s lattice QCD
journal, March 2020

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

FLAG Review 2019
text, January 2019