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Heavy Quark Masses from Sum Rules in Four-Loop Approximation

Johann H. Kuehn·Matthias Steinhauser·Christian Sturm
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Abstract

New data for the total cross section $σ(e^+e^-\to{hadrons})$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance $\bar{\rm MS}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\bar{\rm MS}$-masses, $m_c(3 {GeV})=0.986(13)$ GeV and $m_b(10 {GeV})=3.609(25)$ GeV, can be translated into $m_c(m_c)=1.286(13)$ GeV and $m_b(m_b)=4.164(25)$ GeV. This analysis is consistent with but significantly more precise than a similar previous study.

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Johann H. Kuehn, Matthias Steinhauser, Christian Sturm. 2007-02-11. Heavy Quark Masses from Sum Rules in Four-Loop Approximation. https://doi.org/10.1016/j.nuclphysb.2007.04.036

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