Charm and Bottom Quark Masses: an Update

Abstract

Using new four-loop results for the heavy quark vacuum polarization and new data for bottom quark production in electron-positron annihilation, an update on the determination of charm- and bottom-quark masses through sum rules has been performed. The previous result for the charm-quark mass, $m_c(3\mathrm{GeV})=0.986(13)\mathrm{GeV}$, based on the lowest moment, is supported by the new results from higher moments which lead to consistent values with comparable errors. The new value for the bottom quark, $m_b(10\mathrm{GeV})=3.610(16)\mathrm{GeV}$, corresponding to $m_b(m_b)=4.163(16)\mathrm{GeV}$, makes use both of the new data and the new perturbative results and is consistent with the earlier determination.

Comments: 5 pages, v2: formula for mb(mb) in eq.(14) corrected