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arXiv · hep-ph/9808226

Heavy flavor decays and OPE in two-dimensional 't Hooft model

Arkady Vainshtein
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Abstract

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a testground for calculations of nonleptonic and semileptonic inclusive widths of heavy flavors based on the operator product expansion (OPE). The OPE-based predictions up to terms ${\cal O}(1/m_Q^4)$, inclusively, are confronted with the "phenomenological" results, obtained by summation of all open exclusive decay channels, one by one, a perfect match is found. The issue of duality violations is discussed, the amplitude of oscillating terms is estimated. The method is applied to the realistic case of hadronic $τ$ decays.

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Arkady Vainshtein. 1998-08-05. Heavy flavor decays and OPE in two-dimensional 't Hooft model. https://arxiv.org/abs/hep-ph/9808226

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