Improved determination of b quark mass from spectroscopy

Abstract

Using recently evaluated contributions (including a novel one calculated here), we present updated values for the pole mass and $\overline{MS}$ mass of the $b$ quark: $m_b=5022\pm 58$ MeV, for the pole mass, and ${\bar{m}}_b({\bar{m}}_b)=4286\pm 36$ MeV for the $\overline{MS}$ one. These values are accurate including, respectively, $O({\alpha }_s^5\log {\alpha }_s)$ and $O({\alpha }_s^3)$ corrections and, in both cases, leading orders in the ratio $m_c^2/m_b^2$.

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