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Type: Journal article
Title: Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules
Author: Maltman, Kim
Kambor, Joachim
Citation: Physical Review D, 2002; 65(7):074013
Publisher: American Physical Society
Issue Date: 2002
ISSN: 0556-2821
School/Discipline: School of Chemistry and Physics : Physics and Mathematical Physics
Statement of
Kim Maltman, Joachim Kambor
Abstract: The flavor ud and us pseudoscalar correlators are investigated using families of finite energy sum rules (FESR’s) known to be very accurately satisfied in the isovector vector channel. It is shown that the combination of constraints provided by the full set of these sum rules is sufficiently strong to allow determination of both the light quark mass combinations mu+md, ms+mu and the decay constants of the first excited pseudoscalar mesons in these channels. The resulting masses and decay constants are also shown to produce well-satisfied Borel transformed sum rules, thus providing nontrivial constraints on the treatment of direct instanton effects in the FESR analysis. The values of mu+md and ms+mu obtained are in good agreement with the values implied by recent hadronic τ decay analyses and the ratios obtained from ChPT. New light quark mass bounds based on FESR’s involving weight functions which strongly suppress spectral contributions from the excited resonance region are also presented.
Rights: ©2002 American Physical Society
DOI: 10.1103/PhysRevD.65.074013
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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