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arxiv: 1107.1848 · v2 · pith:FSLLEM52new · submitted 2011-07-10 · ✦ hep-ph · hep-ex· hep-lat· nucl-th

Unprejudiced Look at Effective Continuum Thresholds in Borel Dispersive Sum Rules

classification ✦ hep-ph hep-exhep-latnucl-th
keywords boreldispersiveeffectivehadronrulessum-rulethresholdsaccuracy
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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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