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Precision Determination of Heavy Quark Masses and the Strong Coupling Constant
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We present a new QCD sum rule with high sensitivity to the continuum regions of charm and bottom quark pair production. Combining this sum rule with existing ones yields very stable results for the MS-bar quark masses, m_c(m_c) and m_b(m_b). We introduce a phenomenological parametrization of the continuum interpolating smoothly between the pseudoscalar threshold and asymptotic quark regions. Comparison of our approach with recent BES data allows for a robust theoretical error estimate. The parametric uncertainty due to alpha_s is reduced by performing a simultaneous fit to the most precise sum rules and other high precision observables. This includes a new evaluation of the lifetime of the tau lepton, tau_tau, serving as a strong constraint on alpha_s. Our results are m_c(m_c) = 1.289 +0.040 -0.045 GeV, m_b(m_b) = 4.207 +0.030 -0.031 GeV (with a correlation of 29%), and alpha_s(M_Z) [tau_tau] = 0.1221 +0.0026 -0.0023.
Forward citations
Cited by 3 Pith papers
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Calibrated correlation between heavy-quark masses and Hadronic Vacuum Polarization observables at the precision frontier
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New O(α_s^4) formulas for N→τ+hadrons and τ→N+hadrons give |sinθ| ≤ 0.2 at m_N ≈ 600 MeV and a marginal (9.1^{+3.7}_{−7.8})×10⁻² mixing hint from τ→πν and τ→Kν data.
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Global fits of the SM parameters
This proceedings review compiles current weak mixing angle and W mass data and reports a 1.6 sigma excess of the direct W mass average over the indirect Standard Model fit.
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