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

Benjamin Grinstein
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Abstract

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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Benjamin Grinstein. 2001-12-24. Global duality in heavy flavor decays in the 't Hooft model. https://doi.org/10.1103/physrevd.64.094004

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