m_u+m_d From Isovector Pseudoscalar Sum Rules

Abstract

We revisit the isovector pseudoscalar sum rule determination of m_u+m_d, using families of finite energy sum rules known to be very accurately satisfied in the isovector vector channel. The sum rule constraints are sufficiently strong to allow a determination of both m_u+m_d and the excited resonance decay constants. The corresponding Borel transformed sum rules are also very well satisfied, providing a non-trivial consistency check on the treatment of direct instanton contributions. We obtain [m_u+m_d](2 GeV)=7.8\pm 1.1 MeV (in the MS bar scheme), only marginally compatible with the most recent sum rule determinations, but in good agreement with recent unquenched lattice extractions.

15 pages, 6 figures

References in corpus (3)

• Renormalization group analysis of the tau-lepton decay within QCD
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Tau Physics: Theoretical Perspective

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