Extracting $\alpha$ from the CP Asymmetry in $B^0\to {\pi }^{+}{\pi }^{-}$ Decays

Abstract

The extraction of the CKM angle $\alpha$ from the asymmetry in $B^0\to {\pi }^{+}{\pi }^{-}$ vs ${\bar{B}}^0\to {\pi }^{+}{\pi }^{-}$ suffers from a currently unknown penguin contribution. Experimentally, one can determine the magnitude and phase of the CP asymmetry from a time-dependent analysis of tagged events, and the average rate for $B^0$ and ${\bar{B}}^0$ decays to ${\pi }^{+}{\pi }^{-}$ from untagged events. These measurements, together with the magnitudes and relative phase of the tree and penguin diagrams, can in principle completely determine $\alpha$, free of discrete ambiguities. We perform an error analysis on $\alpha$ given assumptions on the values and uncertainties of both the measurements and theoretical inputs.

18 pages latex, 9 eps files

Cited by in corpus (10)

• Non-Leptonic Two-Body B Decays Beyond Factorization
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Weak Phases From B Decays to Kaons and Charged Pions
• Penguin Zoology in $B\to \pi \pi$ and the Extraction of the CKM Angle $\alpha$
• Recent Theoretical Developments in CP Violation in the B System
• CP Violation in B Decays: The Standard Model and Beyond
• CKM Phases from CP Asymmetries
• CKM Matrix and Standard-Model CP Violation
• Theory of CP Violation
• CDF - Run II Status and Prospect