Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules

dc.creatorMaltman, Kim
dc.creatorKambor, Joachim
dc.date2001-08-28
dc.date.accessioned2026-07-07T11:31:09Z
dc.date.available2026-07-07T11:31:09Z
dc.descriptionThe 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 $m_u+m_d$, $m_s+m_u$ 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 non-trivial constraints on the treatment of direct instanton effects in the FESR analysis. The values of $m_u+m_d$ and $m_s+m_u$ 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.
dc.description28 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0108227
dc.identifierhttp://arxiv.org/abs/hep-ph/0108227
dc.identifierPhys.Rev.D65:074013,2002
dc.identifierdoi:10.1103/PhysRevD.65.074013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197175
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDecay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
dc.typetext

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