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Patrick Janot edited aphas.tex
over 10 years ago
Commit id: 66d4b77e0e82a2171ee467f64b375488a582c654
deletions | additions
diff --git a/aphas.tex b/aphas.tex
index 98c6d85..44f2925 100644
--- a/aphas.tex
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...
\small
\alpha_{\rm s} (m^2_{\rm Z}) = 0.1226 \pm 0.0038 \ ({\rm exp}) {\ }^{+0.0028\ (\mu = 2.00 m_{\rm Z})}_{−0.0005\ (\mu = 0.25 m_{\rm Z})}
{\ }^{+0.0033\ (m_{\rm H} = 900\ {\rm GeV}/c^2)}_{−0.0000\ (m_{\rm H} = 100\ {\rm GeV}/c^2)}
\pm 0.0002\ {\ }^{+0.0002\ (m_{\rm top} =
\pm 5 180 {\rm GeV}/c^2)_{-0.0002\ (m_{\rm top} = 170 {\rm GeV}/c^2) \pm 0.0002\ ({\rm renormal. \ schemes}) = 0.1226^{+0.0058}_{−0.0038}
\end{equation}
Since the uncertainty due to the Higgs mass dependence is no longer relevant, the top quark mass dependence is negligible, and the pQCD scale uncertainty from latest NNNLO calculations [6, 7] is only 0.0002 on $\alpha_s (M^2_Z)$, this method should allow access to high precision on $\alpha_s$.