Isospin Breaking and the Extraction of $m_s$ from the $\tau$-Decay-Like Vector Current Sum Rule

Abstract

Narison's $\tau$-decay-like sum rule for determining the strange quark mass is re-investigated, taking into account isospin-breaking corrections in the extraction of the input spectral functions from $e^{+}{e}^{-}\to hadrons$ data. The corrections, estimated using experimental data on vector meson electromagnetic decay constants and a QCD sum rule analysis of the 38 vector current correlator, are shown to be especially large for the isoscalar case. The reason such large corrections are natural is also explained. Due to the high degree of cancellation in the original sum rule, the effect of these corrections on the determination of $m_s$ is significant. A new central value $m_s=113-138MeV$ is found, in the $\overline{MS}$ scheme at 1 GeV${}^2$, with significant (asymmetric) errors associated with errors in the input experimental data.

6 pages, Latex, to appear in Phys. Lett. B

References in corpus (7)

• The four-loop beta-function in Quantum Chromodynamics
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• On the QCD Sum Rule Determination of the Strange Quark Mass
• Mass Corrections to the Tau Decay Rate
• Estimations of Order alpha_s^3 and alpha_s^4 Corrections to Mass-Dependent Observables
• Problems With Extracting $m_s$ from Flavor Breaking in Hadronic $\tau$ Decays
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Cited by in corpus (12)

• The Physics of Hadronic Tau Decays
• Determination of m_s and |V_us| from hadronic tau decays
• Strange quark mass from e+e- revisited and present status of light quark masses
• The Strange Quark Mass From Flavor Breaking in Hadronic Tau Decays
• Non-lattice determinations of the light quark masses
• Problems With Extracting $m_s$ from Flavor Breaking in Hadronic $\tau$ Decays
• On the longitudinal contributions to hadronic tau decay
• The Strange Quark Mass From Finite Energy Sum Rules
• Tau Physics: Theoretical Perspective
• Strange Quark, Tachyonic Gluon Masses and V_{us} from Hadronic Tau Decays
• Isospin-Breaking Vector Meson Decay Constants From Continuous Families of Finite Energy Sum Rules
• Strange Quark Mass Determination From Sum Rules For Hadronic Tau-Decays