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NNNLO determination of the bottom-quark mass from non-relativistic sum rules

The mass of the bottom quark can be determined with high precision from moments of the pair-production cross section sigma(e+ e- -> b bbar) near threshold. We present the first complete NNNLO determination from non-relativistic sum rules, obtaining a bottom-quark mass of mb^PS(2 GeV) = (4.532 +0.013 -0.039) GeV in the potential-subtracted scheme. For the mass in the MSbar scheme we find mb^MS(mb^MS) = (4.203 +0.016 -0.034) GeV using the recently computed four-loop correction to the scheme conversion.

preprint2016arXivOpen access
Martin BenekeAndreas MaierJan PiclumThomas Rauh
hep-ph
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Martin BenekeAndreas MaierJan PiclumThomas Rauh

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