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The determination of $\alpha_s$ by the ALPHA collaboration
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...
Autores principales: | , , , , , , , , |
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Lenguaje: | eng |
Publicado: |
2016
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/j.nuclphysbps.2017.03.024 http://cds.cern.ch/record/2233843 |
Sumario: | 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 $0.0002$. |
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