m_u+m_d From Isovector Pseudoscalar Sum Rules

Preprint

6 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0107060

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.

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All Related Versions

Version 1, 2001-07-06, ArXiv
Published version: Physics Letters B, 517 (3-4), 332.

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