Revisiting quark-hadron duality for heavy meson non-leptonic decays in two-dimensional QCD

Abstract

We study lifetimes of heavy mesons in the 't Hooft model, a large-$N_c$ theory of strong interaction in two-dimensional spacetime. Since this model is solvable, one can evaluate the total decay widths through hadronic amplitudes that are determined unambiguously within the formalism. We investigate quark-hadron duality by numerically comparing the exclusive result and one from the heavy quark expansion, with the contribution of Pauli interference being consistently incorporated. Within certain numerical accuracy, we find that the maximal difference between inclusive and exclusive rates for $\tau [D_s^{+}]/\tau [D^0]$ $(\tau [B^{+}]/\tau [B^0])$ is as large as the current experimental (theoretical) error in four-dimensions, except for $\tau [D^{+}]/\tau [D^0]$, where an excellent agreement between the rates is seen.

18 pages, 3 figures, 1 table; version accepted for publication in PLB

References in corpus (3)

• Bs mixing observables and Vtd/Vts from sum rules
• Solving the Bars-Green equation for moving mesons in two-dimensional QCD
• Breakdown of the operator product expansion in the 't Hooft model

Cited by in corpus (1)

• Quark-hadron duality at work: lifetimes of bottom baryons