Global duality in heavy flavor decays in the 't Hooft model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, 2 figures, revtex; typos in eqs1-2 corrected

Scientific paper

10.1103/PhysRevD.64.094004

We average the decay width of a heavy meson in the t' Hooft model over the heavy quark mass M with a smooth weight function. The averaging has support over a few resonance spacings. We use the previously determined heavy meson decay width which differs from the free quark width by a 1/M correction. In contrast, we find that the averaged meson and quark widths differ by a 1/M^2 correction. We speculate on the relevance of our results to the phenomenologically relevant case of 3+1 dimensional QCD.

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