Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-20
Phys.Rev. D59 (1999) 054022
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 13 figs (of 18 eps files)
Scientific paper
10.1103/PhysRevD.59.054022
We compare the effects of different quark diagram topologies on the weak hadronic width of heavy-light mesons in the large N_c limit. We enumerate the various topologies and show that the only one dominant (or even comparable) in powers of N_c to the noninteracting spectator "tree" diagram is the "annihilation" diagram, in which the valence quark-antiquark pair annihilate weakly. We compute the amplitude for this diagram in the 't Hooft model (QCD in 1+1 spacetime dimensions with a large number of colors N_c) at the hadronic level and compare to the Born term partonic level. We find that quark-hadron duality is not well satisfied, even after the application of a smearing procedure to the hadronic result. A number of interesting subtleties absent from the tree diagram case arise in the annihilation diagram case, and are described in detail.
Grinstein Benjamin
Lebed Richard F.
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