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

Denis Suprun·Cheng-Wei Chiang·Jonathan L. Rosner
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Abstract

To observe CP-violating asymmetries through the interference of a weaker amplitude with a stronger one in $\bo \to D^{(*)} π$ and $\ob \to D^{(*)} π$ 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 $B^\pm \to D^{(*)\pm} π^0$ decays, the time-integrated approach requires around $2.5 \cdot 10^8 \ B \bar B$ pairs for measurements of the weak phase $\sin(2β+ γ)$ with an uncertainty of $0.05$ or better. We also determine the optimal conditions for precise $2β+ γ$ measurements and discuss the possibilities for resolving a discrete ambiguity.

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Denis Suprun, Cheng-Wei Chiang, Jonathan L. Rosner. 2001-10-11. Extraction of a Weak Phase from $B \to D^{(*)} π$. https://doi.org/10.1103/physrevd.65.054025

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