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arxiv: hep-ph/0107060 · v1 · submitted 2001-07-06 · ✦ hep-ph

m_u+m_d From Isovector Pseudoscalar Sum Rules

classification ✦ hep-ph
keywords isovectorrulerulesdeterminationpseudoscalarrecentsatisfiedvery
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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.

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