Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models

Abstract

We compare the extraction of the ground-state decay constant from the two-point correlator in QCD and in potential models and show that the results obtained at each step of the extraction procedure follow a very similar pattern. We prove that allowing for a Borel-parameter-dependent effective continuum threshold yields two essential improvements compared to employing a Borel-parameter-independent quantity: (i) It reduces considerably the (unphysical) dependence of the extracted bound-state mass and the decay constant on the Borel parameter. (ii) In a potential model, where the actual value of the decay constant is known from the Schroedinger equation, a Borel-parameter-dependent threshold leads to an improvement of the accuracy of the extraction procedure. Our findings suggest that in QCD a Borel-parameter dependent threshold leads to a more reliable and accurate determination of bound-state characteristics by the method of sum rules.

7 pages

References in corpus (6)

• The effective continuum threshold in dispersive sum rules
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Can one control systematic errors of QCD sum rule predictions for bound states?
• Effective continuum threshold for vacuum-to-bound-state correlators
• Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators
• Heavy-to-light form factors: sum rules on the light cone and beyond

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