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

Bruno, M.; Simma, H.; Sommer, R.; Dalla Brida, M.; Sint, S.; Fritzsch, P.; Schaefer, S.; Korzec, T.; Ramos, A.

doi:10.22323/1.256.0197

Published Articles
Report number	arXiv:1701.03075 ; CERN-TH-2016-262 ; DESY-17-007
Title	The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
Related title	The $\Lambda$-parameter in 3-flavour QCD and $\alpha_s(m_Z)$ by the ALPHA collaboration
Author(s)	Bruno, M. (Brookhaven) ; Dalla Brida, M. (INFN, Milan Bicocca ; NIC, Zeuthen ; Milan Bicocca U. ; DESY, Zeuthen) ; Fritzsch, P. (CERN ; Madrid, IFT) ; Korzec, T. (Bergische U., Wuppertal (main)) ; Ramos, A. (CERN) ; Schaefer, S. (NIC, Zeuthen ; DESY, Zeuthen) ; Simma, H. (NIC, Zeuthen ; DESY, Zeuthen) ; Sint, S. (Trinity Coll., Dublin) ; Sommer, R. (NIC, Zeuthen ; Humboldt U., Berlin ; DESY, Zeuthen)
Publication	SISSA, 2016-12-23
Imprint	2017-01-11
Number of pages	21
Note	21 pages. Collects contributions of A. Ramos, S. Sint and R. Sommer to the 34th annual International Symposium on Lattice Field Theory; LaTeX input encoding problem fixed
In:	PoS LATTICE2016 (2016) 197
In:	34th International Symposium on Lattice Field Theory, Southampton, UK, 24 - 30 Jul 2016, pp.197
DOI	10.22323/1.256.0197
Subject category	hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
Abstract	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.
Copyright/License	Preprint: © 2016-2025 CERN (License: CC-BY-4.0) License

$Continuum extrapolation of the step scaling function. The leftmost points are the continuum values, whereas the stars are obtained from perturbative scale evolution using the 3-loop $\beta$-function.$ $The extraction of the $\Lambda$-parameter using perturbation theory at different values of $\alpha$, plotted vs. $\alpha^2(1/L_n)$. The data points are, from top to bottom, for $\nu=-0.5,0,0.3$ and, from right to left, for $n=0,1,\ldots,5$ steps by a factor 2 in scale.$ $Continuum extrapolation of the step scaling function at the 9 target values of the coupling using as weights for the fit the uncertainty in $\Sigma$. Note that different continuum extrapolations are systematically different.$ Show more plots

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Zapis kreiran 2017-01-20, zadnja izmjena 2023-08-11

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