Violations of Local Duality in the Heavy Quark Sector

Details Violations of Local Duality in the Heavy Quark Sector Violations of Local Duality in the Heavy Quark Sector

1997-05-22

arxiv.org/abs/hep-ph/9705390v1

Phys.Lett. B409 (1997) 417-424

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 14 pages, 1 figure

Scientific paper

10.1016/S0370-2693(97)00890-3

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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