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The determination of $\alpha_s$ by the ALPHA collaboration

Authors :
Bruno, Mattia
Brida, Mattia Dalla
Fritzsch, Patrick
Korzec, Tomasz
Ramos, Alberto
Schaefer, Stefan
Simma, Hubert
Sint, Stefan
Sommer, Rainer
Publication Year :
2016

Abstract

We review the ALPHA collaboration strategy for obtaining the QCD coupling at high scale. In the three-flavor effective theory it avoids the use of perturbation theory at $\alpha > 0.2$ and at the same time has the physical scales small compared to the cutoff $1/a$ in all stages of the computation. The result $\Lambda_\overline{MS}^{(3)}=332(14)$~MeV is translated to $\alpha_\overline{MS}(m_Z)=0.1179(10)(2)$ by use of (high order) perturbative relations between the effective theory couplings at the charm and beauty quark "thresholds". The error of this perturbative step is discussed and estimated as $0.0002$.<br />Comment: 7 pages, proceedings of FPCapri2016 conference

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1611.05750
Document Type :
Working Paper