Parton-Hadron duality in QCD sum rules: quantum mechanical examples

Details Parton-Hadron duality in QCD sum rules: quantum mechanical examples Parton-Hadron duality in QCD sum rules: quantum mechanical examples

1997-06-24

arxiv.org/abs/hep-ph/9706484v2

Phys.Rev.D57:2676-2690,1998; Erratum-ibid.D58:019903,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 19 figures. Several references are added. Several typos and minor numerical mistakes are corrected. None of new chan

Scientific paper

10.1103/PhysRevD.57.2676

Motivated by recent work on three-point QCD sum rules in heavy quark physics, we use the simple quantum mechanical models to study the basic issue of duality in three-point sum rules. We show that while in all of these models the duality in two-point sum rules works fine, the duality in three-point sum rules may be 100%- violated, leading to completely unreliable predictions for the matrix elements in question. The implications for three-point QCD sum rules are discussed. A new estimate for the parameter $\lambda_1$ of HQET is given.

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