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The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration

We present results by the ALPHA collaboration for the $\Lambda$-parameter in 3-flavour QCD and the strong coupling constant at the electroweak scale, $\alpha_s(m_Z)$, in terms of hadronic quantities computed on the CLS gauge configurations. The first part of this proceedings contribution contains a...

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Autores principales: Bruno, M., Dalla Brida, M., Fritzsch, P., Korzec, T., Ramos, A., Schaefer, S., Simma, H., Sint, S., Sommer, R.
Lenguaje:eng
Publicado: SISSA 2017
Materias:
Acceso en línea:https://dx.doi.org/10.22323/1.256.0197
http://cds.cern.ch/record/2242539
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author Bruno, M.
Dalla Brida, M.
Fritzsch, P.
Korzec, T.
Ramos, A.
Schaefer, S.
Simma, H.
Sint, S.
Sommer, R.
author_facet Bruno, M.
Dalla Brida, M.
Fritzsch, P.
Korzec, T.
Ramos, A.
Schaefer, S.
Simma, H.
Sint, S.
Sommer, R.
author_sort Bruno, M.
collection CERN
description We present results by the ALPHA collaboration for the $\Lambda$-parameter in 3-flavour QCD and the strong coupling constant at the electroweak scale, $\alpha_s(m_Z)$, in terms of hadronic quantities computed on the CLS gauge configurations. The first part of this proceedings contribution contains a review of published material \cite{Brida:2016flw,DallaBrida:2016kgh} and yields the $\Lambda$-parameter in units of a low energy scale, $1/L_{\rm had}$. We then discuss how to determine this scale in physical units from experimental data for the pion and kaon decay constants. We obtain $\Lambda_{\overline{\rm MS}}^{(3)} = 332(14)$ MeV which translates to $\alpha_s(M_Z)=0.1179(10)(2)$ using perturbation theory to match between 3-, 4- and 5-flavour QCD.
id cern-2242539
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
publisher SISSA
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spelling cern-22425392023-08-11T04:19:36Zdoi:10.22323/1.256.0197http://cds.cern.ch/record/2242539engBruno, M.Dalla Brida, M.Fritzsch, P.Korzec, T.Ramos, A.Schaefer, S.Simma, H.Sint, S.Sommer, R.The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaborationhep-phParticle Physics - Phenomenologyhep-latParticle Physics - LatticeWe present results by the ALPHA collaboration for the $\Lambda$-parameter in 3-flavour QCD and the strong coupling constant at the electroweak scale, $\alpha_s(m_Z)$, in terms of hadronic quantities computed on the CLS gauge configurations. The first part of this proceedings contribution contains a review of published material \cite{Brida:2016flw,DallaBrida:2016kgh} and yields the $\Lambda$-parameter in units of a low energy scale, $1/L_{\rm had}$. We then discuss how to determine this scale in physical units from experimental data for the pion and kaon decay constants. We obtain $\Lambda_{\overline{\rm MS}}^{(3)} = 332(14)$ MeV which translates to $\alpha_s(M_Z)=0.1179(10)(2)$ using perturbation theory to match between 3-, 4- and 5-flavour QCD.SISSAarXiv:1701.03075CERN-TH-2016-262DESY-17-007oai:cds.cern.ch:22425392017-01-11
spellingShingle hep-ph
Particle Physics - Phenomenology
hep-lat
Particle Physics - Lattice
Bruno, M.
Dalla Brida, M.
Fritzsch, P.
Korzec, T.
Ramos, A.
Schaefer, S.
Simma, H.
Sint, S.
Sommer, R.
The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title_full The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title_fullStr The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title_full_unstemmed The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title_short The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
title_sort $\lambda$-parameter in 3-flavour qcd and $\alpha_s(m_z)$ by the alpha collaboration
topic hep-ph
Particle Physics - Phenomenology
hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.256.0197
http://cds.cern.ch/record/2242539
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