We determine the bottom $\bar{ \rm MS}$ 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,\rm PS}(2 { GeV})=(4.59\pm 0.08) $GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate.
Categories: hep-ph