$\sigma(e^+e^-\to{hadrons})$ and the Heavy Quark Masses

The precise data for the total cross section $σ (e^{+} e^{-} \to h a d r o n s)$ from the charm threshold region, when combined with the evaluation of moments with three loop accuracy, lead to a direct determination of the short distance $\overset{ˉ}{M S}$ charm quark mass $m_{c} (m_{c}) = 1.304 (27)$ . Applying the same approach to the bottom quark we obtain $m_{b} (m_{b}) = 4.191 (51)$ GeV. A complementary method for the determination of $m_{b}$ is based of the analysis of the $Υ (1 S)$ system which is confronted with a next-to-next-to-next-to-leading order calculation of the corresponding energy level. This leads to $m_{b} (m_{b}) = 4.346 (70)$ GeV.

$σ (e^{+} e^{-} \to h a d r o n s)$ and the Heavy Quark Masses

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$σ (e^{+} e^{-} \to h a d r o n s)$ and the Heavy Quark Masses

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σ(e+e−→hadrons)σ(e+e−→hadrons) and the Heavy Quark Masses

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σ(e+e−→hadrons)σ(e+e−→hadrons) and the Heavy Quark Masses

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$σ (e^{+} e^{-} \to h a d r o n s)$ and the Heavy Quark Masses

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$σ (e^{+} e^{-} \to h a d r o n s)$ and the Heavy Quark Masses

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