Heavy Quark Expansion and Preasymptotic Corrections to Decay Widths in the 't Hooft Model

Details Heavy Quark Expansion and Preasymptotic Corrections to Decay Widths in the 't Hooft Model Heavy Quark Expansion and Preasymptotic Corrections to Decay Widths in the 't Hooft Model

1999-02-11

arxiv.org/abs/hep-ph/9902315v2

Phys.Rev. D60 (1999) 114034

Physics

High Energy Physics

High Energy Physics - Phenomenology

54 pages, 8 figures in the text. Version to be published in Phys. Rev. D. A number of typos are corrected and relevant referen

Scientific paper

10.1103/PhysRevD.60.114034

We address nonperturbative power corrections to inclusive decay widths of heavy flavor hadrons in the context of the 't Hooft model (two-dimensional QCD at N_c->oo), with the emphasis on the spectator-dependent effects sensitive to the flavor of the spectator. The summation of exclusive widths is performed analytically using the `t Hooft equation. We show that the 1/m_Q expansion of both the Weak Annihilation and Pauli Interference widths coincides with the OPE predictions, to the computed orders. Violation of local duality in the inclusive widths is quantified, and the new example is identified where the OPE prediction and the actual effect are completely saturated by a single final state. The qualitative aspects of quark hadronization emerging from the analysis in the 't Hooft model are discussed. Certain aspects of summation of spectator-independent hadronic weak decay widths are given in more detail, which were not spelled out previously. We also give some useful details of the 1/m_Q expansion in the 't~Hooft model.

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