The bottom-quark mass from non-relativistic sum rules at NNNLO

We determine the mass of the bottom quark from high moments of the bb¯ production cross section in e+e−e+e− annihilation, which are dominated by the threshold region. On the theory side next-to-next-to-next-to-leading order (NNNLO) calculations both for the resonances and the continuum cross section are used for the first time. We find mbPS(2 GeV)=4.532−0.039+0.013 GeV for the potential-subtracted mass and mbMS¯(mbMS¯)=4.193−0.035+0.022 GeV for the MS¯ bottom-quark mass.