Isolating the Penguin-diagram Contribution to $CP$ Violation in $B_d^0$ vs ${\bar{B}}_d^0\to {\pi }^{+}{\pi }^{-}$

Abstract

A reliable prediction for $CP$ violation in $B_d^0$ vs ${\bar{B}}_d^0\to {\pi }^{+}{\pi }^{-}$ suffers from the penguin-diagram induced uncertainty. With the help of SU(3) relations, we show that both the magnitude and strong phase shift of the penguin amplitude can be approximately determined only from the branching ratios of $B_d^0\to {\pi }^{+}{\pi }^{-}$, $B_d^0\to K^{+}{\pi }^{-}$, and $B_u^{+}\to K^0{\pi }^{+}$.

Latex file 11 pages; LMU-14/94 (August 1994)

References in corpus (3)

• Weak Coupling Phase from Decays of Charged B Mesons to $\pi K$ and $\pi \pi$
• A Further Study of $CP$ Asymmetries in Pure Penguin-induced $B_u^{\pm }$ Decays
• On Measuring $CP$ Violation in Neutral $B$-meson Decays at the ${\rm Y}(4S)$ Resonance

Cited by in corpus (4)

• Weak Phase $\gamma$ and Strong Phase $\delta$ from CP Averaged $B\to \pi \pi$ and $\pi K$ Decays
• Penguin corrections and strong phases in a time-dependent analysis of $B_d^0\to {\pi }^{+}{\pi }^{-}$
• CP Violation in B Decays: The Standard Model and Beyond
• Theory of CP Violation