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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:
; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
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.
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. doi:10.1103/PhysRevLett.119.102001.
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. doi:10.1103/PhysRevLett.119.102001.
@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 = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.119.102001

Citation Metrics:
Cited by: 13 works
Citation information provided by
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Figures / Tables:

FIG. 1 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 » MeV. The x coordinate is then obtained by setting $a$ = 0.04 fm, the smallest value of lattice spacings reached in the large volume simulations entering. The data points on the left are finite-size scaling computations.« less

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    Works referencing / citing this record:

    Determination of Λ 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
    journal, July 2019

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    • The European Physical Journal A, Vol. 55, Issue 7
    • DOI: 10.1140/epja/i2019-12803-6

    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

    • Bali, Gunnar S.; Braun, Vladimir M.; Bürger, Simon
    • The European Physical Journal A, Vol. 55, Issue 7
    • DOI: 10.1140/epja/i2019-12803-6

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


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