We present results by the ALPHA collaboration for the L-parameter in 3-flavour QCD and the strong coupling constant at the electroweak scale, αs(mZ), in terms of hadronic quantities computed on the CLS gauge configurations. The first part of this proceedings contribution contains a review of published material [1, 2] and yields the L-parameter in units of a low energy scale, 1=Lhad. We then discuss how to determine this scale in physical units from experimental data for the pion and kaon decay constants. We obtain Λ(3)/MS = 332(14)MeV which translates to αs(MZ) = 0:1179(10)(2) if one uses the standard perturbative procedure to match between 3-, 4- and 5-flavour QCD.
Bruno, M., Dalla Brida, M., Fritzsch, P., Korzec, T., Ramos, A., Schaefer, S., et al. (2017). The Λ-parameter in 3-flavour QCD and αs(mZ) by the ALPHA collaboration. Intervento presentato a: 34th International Symposium on Lattice Field Theory (Lattice 2016), Southampton, UK [10.22323/1.256.0197].
The Λ-parameter in 3-flavour QCD and αs(mZ) by the ALPHA collaboration
Bruno, M;Dalla Brida, M;
2017
Abstract
We present results by the ALPHA collaboration for the L-parameter in 3-flavour QCD and the strong coupling constant at the electroweak scale, αs(mZ), in terms of hadronic quantities computed on the CLS gauge configurations. The first part of this proceedings contribution contains a review of published material [1, 2] and yields the L-parameter in units of a low energy scale, 1=Lhad. We then discuss how to determine this scale in physical units from experimental data for the pion and kaon decay constants. We obtain Λ(3)/MS = 332(14)MeV which translates to αs(MZ) = 0:1179(10)(2) if one uses the standard perturbative procedure to match between 3-, 4- and 5-flavour QCD.
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