PQCD study of the $B_{SL}$ and $n_c$ controversy in inclusive $B$ decays

Details PQCD study of the $B_{SL}$ and $n_c$ controversy in inclusive $B$ decays PQCD study of the $B_{SL}$ and $n_c$ controversy in inclusive $B$ decays

1998-03-16

arxiv.org/abs/hep-ph/9803360v1

Phys.Rev.D58:094019,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, latex

Scientific paper

10.1103/PhysRevD.58.094019

We calculate the semileptonic branching ratio and the charm counting of inclusive $B$ meson decays using the perturbative QCD formalism. For the nonleptonic decays, we employ the modified factorization theorem, in which Wilson coefficients evolve with the characteristic scales of the decay modes. It is found that the decay rate of the single-charm mode $b\to c{\bar u}d$ is enhanced, and a lower $B_{SL}$ is obtained without increasing $n_c$. We predict a larger $b\to c \tau \bar{\nu}$ branching ratio compared to that from the conventional heavy-quark-effective-theory based operator product expansion. Our result of the $B$ meson lifetime is also consistent with the data.

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