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arXiv · 1601.02949

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

Martin Beneke·Andreas Maier·Jan Piclum·Thomas Rauh
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Abstract

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.

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Martin Beneke, Andreas Maier, Jan Piclum, Thomas Rauh. 2016-01-13. NNNLO determination of the bottom-quark mass from non-relativistic sum rules. https://arxiv.org/abs/1601.02949

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