Extraction of a Weak Phase from $B \to D^{(*)} π$

Details Extraction of a Weak Phase from $B \to D^{(*)} π$ Extraction of a Weak Phase from $B \to D^{(*)} π$

2001-10-11

arxiv.org/abs/hep-ph/0110159v1

Phys.Rev. D65 (2002) 054025

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, LaTeX, 4 figures, to be submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.054025

To observe CP-violating asymmetries through the interference of a weaker amplitude with a stronger one in $\bo \to D^{(*)} \pi$ and $\ob \to D^{(*)} \pi$ decays, one must collect enough events that the intensity associated with the weaker amplitude would be statistically significant. We show that provided the weaker amplitude is measured separately in $B^\pm \to D^{(*)\pm} \pi^0$ decays, the time-integrated approach requires around $2.5 \cdot 10^8 \ B \bar B$ pairs for measurements of the weak phase $\sin(2\beta + \gamma)$ with an uncertainty of $0.05$ or better. We also determine the optimal conditions for precise $2\beta + \gamma$ measurements and discuss the possibilities for resolving a discrete ambiguity.

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