A precise determination of the charm quark's mass in quenched QCD

Abstract

We present a lattice determination of the charm quark's mass, using the mass of the D_s meson as experimental input. All errors are under control with the exception of the quenched approximation. Setting the scale with F_K=160 MeV, our final result for the renormalization group invariant (RGI) quark mass is M_c = 1.654(45) GeV, which translates to m_c(m_c) =1.301(34) GeV for the running mass in the MSbar scheme. A 6 percent increase of the RGI quark mass is observed when the scale is set by the nucleon mass. This is a typical quenched scale ambiguity, which is reduced to about 3 percent for m_c(m_c), and to 4 percent for the mass ratio M_c/M_s. In contrast, the mass splitting m(Dstar_s)-m(D_s) changes from 117(11) MeV to 94(11) MeV, which is significantly smaller than the experimental value of 144 MeV.

27 pages, 5 figures

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• Non-perturbative Renormalization in Lattice Field Theory
• Inclusive Rare B Decays
• Improving alpha_QED(M_Z^2) and the charm mass by analytic continuation

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• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
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• Heavy Quarks on the Lattice
• Non-perturbative renormalisation of left-left four-fermion operators with Neuberger fermions
• The Schrödinger Wave Functional and S-branes
• How much do charm sea quarks affect the charmonium spectrum?
• A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation
• Minimal 3-3-1 model, lepton mixing and muonium-antimuonium conversion
• Gauge Theories as String Theories: the First Results
• Lattice cutoff effects for F_Ds with improved Wilson fermions - a final lesson from the quenched case
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• Status of heavy quark physics from the lattice
• Twisted mass QCD in the charm sector
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• The effect of sea quarks on the mass of the charm quark from Lattice QCD