Systematic errors of bound-state parameters extracted by means of SVZ sum rules

Details Systematic errors of bound-state parameters extracted by means of SVZ sum rules Systematic errors of bound-state parameters extracted by means of SVZ sum rules

2007-12-02

arxiv.org/abs/0712.0177v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, talk given at "Hadron 07", XII International Conference on Hadron Spectroscopy, Frascati, October 8-13, 2007

Scientific paper

This talk presents the results of our study of systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules. We use the harmonic-oscillator potential model as an example: in this case we know the exact solution for the polarization operator, which allows us to obtain both the OPE to any order and the parameters (masses and decay constants) of the bound states. We extract the parameters of the ground state by making use of the standard procedures of the method of QCD sum rules, and compare the obtained results with their known exact values. We show that if the continuum contribution to the polarization operator is not known and is modelled by some effective continuum threshold, the standard procedures adopted in sum rules do not allow one to gain control over the systematic errors of the extracted ground-state parameters.

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