Precise Charm- and Bottom-Quark Masses: Theoretical and Experimental Uncertainties

Abstract

Recent theoretical and experimental improvements in the determination of charm and bottom quark masses are discussed. A new and improved evaluation of the contribution from the gluon condensate $<\frac{{\alpha }_s}{\pi }{G}^2>$ to the charm mass determination and a detailed study of potential uncertainties in the continuum cross section for $b\bar{b}$ production is presented, together with a study of the parametric uncertainty from the ${\alpha }_s$-dependence of our results. The final results, $m_c(3\text{GeV})=986(13)$MeV and $m_b(m_b)=4163(16)$MeV, represent, together with a closely related lattice determination $m_c(3\mathrm{GeV})=986(6)$MeV, the presently most precise determinations of these two fundamental Standard Model parameters. A critical analysis of the theoretical and experimental uncertainties is presented.

12 pages, presented at Quarks~2010, 16th International Seminar of High Energy Physics, Kolomna, Russia, June 6-12, 2010; v2: references added

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• Computing the hadronic vacuum polarization function by analytic continuation
• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Addendum to arXiv:0907.2110: "Charm and Bottom Quark Masses: An Update"
• Life of Π
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• Charm Quark Mass with Calibrated Uncertainty
• Hadronic vacuum polarization using gradient flow
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• The role of low-energy observables in precision Higgs analysis
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• Higher-order condensate corrections to ${\rm Y}$ masses, leptonic decay rates and sum rules
• Alternative Treatment of the Quark Mass in the Heavy Quark Expansion
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• Precise Determinations of the Charm and Bottom Quark Masses
• Measurement of ${\Gamma }_{ee}\times {\mathcal{B}}_{\mu \mu }$ for $\psi (2S)$ meson
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
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• Masses of constituent quarks confined in open bottom hadrons
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