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

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

1998-08-05

arxiv.org/abs/hep-ph/9808226v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 11 pages, 2 figures. Talk presented at the 3rd workshop on Continious Advances in QCD, University of Minnesota, Minneap

Scientific paper

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 $\tau$ decays.

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