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arXiv · hep-ph/9705390

Violations of Local Duality in the Heavy Quark Sector

P. Colangelo·C. A. Dominguez·G. Nardulli
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Abstract

We examine the origin of possible failures of the quark-hadron local duality. In particular, we consider a correlator of two currents comprising heavy quark operators, and compare the evaluation by the Operator Product Expansion with the result obtained inserting an infinite set of hadronic states, in the N_c to infinity limit. Whereas the smeared spectral functions agree with each other, their local behaviour is different. The difference manifests itself in the form of a term O(Lambda/epsilon) (epsilon being the residual energy) that is not present in the expansion in powers of Lambda/epsilon predicted by the OPE.

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P. Colangelo, C. A. Dominguez, G. Nardulli. 1997-05-22. Violations of Local Duality in the Heavy Quark Sector. https://doi.org/10.1016/s0370-2693(97)00890-3

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