The bottom $\overline{\mathrm{MS}}$ quark mass from sum rules at next-to-next-to-leading order

Abstract

We determine the bottom $\overline{\mathrm{MS}}$ quark mass ${\bar{m}}_b$ and the quark mass in the potential subtraction scheme from moments of the $b\bar{b}$ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find ${\bar{m}}_b({\bar{m}}_b)=(4.25\pm 0.08)$GeV and $m_{b,\mathrm{PS}}(2GeV)=(4.59\pm 0.08)$GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate.

arXiv comment14 pages, LaTeX, 2 figures; v2: journal version

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