Final-State Phases in $B \to D π, D^* π$, and $D ρ$ Decays

Details Final-State Phases in $B \to D π, D^* π$, and $D ρ$ Decays Final-State Phases in $B \to D π, D^* π$, and $D ρ$ Decays

2002-12-18

arxiv.org/abs/hep-ph/0212274v3

Phys.Rev. D67 (2003) 074013

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, LaTeX, 3 figures, to be submitted to Phys. Rev. D. References added; comments on new experimental results and analys

Scientific paper

10.1103/PhysRevD.67.074013

The final-state phases in $\bar{B} \to D \pi, D^* \pi$, and $D \rho$ decays appear to follow a pattern similar to those in $D \to \bar{K} \pi$, $\bar{K}^* \pi$, and $\bar{K} \rho$ decays. Each set of processes is characterized by three charge states but only two independent amplitudes, so the amplitudes form triangles in the complex plane. For the first two sets the triangles appear to have non-zero area, while for the $D \rho$ or $\bar{K} \rho$ decays the areas of the triangles are consistent with zero. Following an earlier discussion of this behavior for $D$ decays, a similar analysis is performed for B decays, and the relative phases and magnitudes of contributing amplitudes are determined. The significance of recent results on $\ob \to D^{(*)0} \bar{K}^{(*)0}$ is noted. Open theoretical and experimental questions are indicated.

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