Unprejudiced Look at Effective Continuum Thresholds in Borel Dispersive Sum Rules

Physics – High Energy Physics – High Energy Physics - Phenomenology

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contributed to the "XIV International Conference on Hadron Spectroscopy", 13 - 17 June 2011, Munich, Germany, to appear in the

Scientific paper

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by elevating the effective thresholds involved in this approximation from constants to functions of momenta and a parameter entering upon Borel transformation. A rigorous scrutiny of the applicability of our proposed sum-rule modifications to QCD gives us great confidence that our sum-rule alterations will prove to be fruitful for hadron phenomenology.

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