Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order

Abstract

Charmonium sum rules for pseudoscalar 0^{-+} state eta_c(1S) are analyzed within perturbative QCD and Operator Product Expansion. The perturbative part of the pseudoscalar correlator is considered at alpha_s^2 order and the contribution of the gluon condensate <G^2> is taken into account with alpha_s correction. The OPE series includes the operators of dimension D=6,8 computed both in the instanton and factorization model. The method of moments in MS-bar scheme allows to establish acceptable values of the charm quark mass and gluon condensate, using the experimental mass of eta_c. In result of the analisys the charm quark mass is found to be m_c(m_c)=1.26+-0.02 GeV independently of the condensate value. The sensitivity of the results to various approximations for the massive 3-loop pseudoscalar correlator is discussed.

arXiv comment19 pages, 1 latex + 5 eps files. v2: Operators of dimension D=8 included; the condensate restriction relaxed; c-quark mass is found m_c(m_c)=1.26+-0.02 GeV independently of other sum rules and condensate value. To appear in JHEP

References in corpus (15)

• The three loop relation between the \bar {MS} and the pole quark masses
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Observation of the eta_c(2S) in exclusive B-->K KsK-pi+ decays
• Two-Photon Decay Widths of Higgs Particles
• Heavy Quark Current Correlators to O(α_s^2)
• Determination of ${\alpha }_s$ and heavy quark masses from recent measurements of $R(s)$
• Two-Loop Gluon-Condensate Contributions To Heavy-Quark Current Correlators: Exact Results And Approximations
• The V-A sum rules and the Operator Product Expansion in complex q^2-plane from tau-decay data
• Charm quark mass from QCD sum rules for the charmonium system
• Higgs Decay to Top Quarks at O(α_s^2)
• Singlet Polarization Functions at O(α_s^2)
• Charm Quark Mass
• Correlator of Topological Charge Densities in Instanton Model in QCD
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• New contributions to heavy quark sum rules

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