Analysis of the Three-Body $B \to D^+ D^- π^0$ Decay

Details Analysis of the Three-Body $B \to D^+ D^- π^0$ Decay Analysis of the Three-Body $B \to D^+ D^- π^0$ Decay

1999-01-11

arxiv.org/abs/hep-ph/9901264v1

Phys.Rev. D60 (1999) 033002

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 20 pages, 4 figures

Scientific paper

10.1103/PhysRevD.60.033002

The decay process $B\to D^+ D^- \pi^0$ is an interesting channel for the investigation of CP violating effects in the $b-$ sector. We write down a decay amplitude constrained by a low-energy theorem, which also includes the contribution of resonant $S-$ and $P-$wave beauty and charmed mesons, and we determine the relevant matrix elements in the infinite heavy quark mass limit, assuming the factorization ansatz. We estimate the rate of the decay: ${\cal B}(B \to D^+ D^- \pi^0)\simeq 1 \times 10^{-3}$. We also analyze the time-independent and time-dependent differential decay distributions, concluding that a signal for this process should be observed at the B-factories. Finally, we give an estimate of the decay rate of the Cabibbo-favoured process $B\to D^+ D^- K_S$.

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