The bottom-quark mass from non-relativistic sum rules at NNNLO
M. Beneke, A. Maier, J. Piclum, T. Rauh
TL;DR
This paper accurately determines the bottom quark mass using high moments of the e+ e- annihilation cross section near threshold, employing advanced NNNLO theoretical calculations for the first time.
Contribution
It introduces the first use of NNNLO calculations for both resonances and continuum in bottom quark mass determination from sum rules.
Findings
Potential-subtracted bottom mass: 4.532 +0.013 -0.039 GeV
MSbar bottom mass: 4.193 +0.022 -0.035 GeV
Improved precision in bottom quark mass measurement
Abstract
We determine the mass of the bottom quark from high moments of the bottom production cross section in 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 mb,PS(2 GeV) = 4.532 +0.013 -0.039 GeV for the potential-subtracted mass and mb,MSbar(mb,MSbar) = 4.193 +0.022 -0.035 GeV for the MSbar bottom-quark mass.
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