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Charm and Bottom Quark Masses from Perturbative QCD

R. Boughezal·M. Czakon·T. Schutzmeier
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Abstract

Using a new result for the first moment of the hadronic production cross section at order ${\cal O}(α_s^3)$, and new data on the $J/ψ$ and $ψ'$ resonances for the charm quark, we determine the \msb masses of the charm and bottom quarks to be $\bar{m}_c(\bar{m}_c) = 1.295 \pm 0.015$ GeV and $\bar{m}_b(\bar{m}_b) = 4.205 \pm 0.058$ GeV. We assume that the continuum contribution to the sum rules is adequately described by pQCD. While we observe a large reduction of the perturbative error, the shifts induced by the theoretical input are very small. The main change in the central value of $m_c$ is related to the experimental data. On the other hand, the value of $m_b$ is not changed by our calculation to the assumed precision.

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R. Boughezal, M. Czakon, T. Schutzmeier. 2006-10-13. Charm and Bottom Quark Masses from Perturbative QCD. https://doi.org/10.1103/physrevd.74.074006

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