# TTP07-02 Heavy Quark Masses from Sum Rules in Four-Loop Approximation

TTP07-02 Heavy Quark Masses from Sum Rules in Four-Loop Approximation

TTP07-02 Heavy Quark Masses from Sum Rules in Four-Loop Approximation

New data for the total cross section $\sigma(e^+e^-\to\mbox{hadrons})$ 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 $\overline{\rm MS}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\overline{\rm MS}$-masses, $m_c(3~\mbox{GeV})=0.986(13)$~GeV and $m_b(10~\mbox{GeV})=3.609(25)$~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.

 Johann H. K\“uhn, Matthias Steinhauser, Christian Sturm Nucl.Phys. B778 192-215 2007 PDF PostScript arXiv