Extracting $α$ from the CP Asymmetry in $B^0 \to π^+ π^-$ Decays

Details Extracting $α$ from the CP Asymmetry in $B^0 \to π^+ π^-$ Decays Extracting $α$ from the CP Asymmetry in $B^0 \to π^+ π^-$ Decays

1995-07-27

arxiv.org/abs/hep-ph/9507439v1

Phys.Rev. D53 (1996) 4930-4936

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages latex, 9 eps files

Scientific paper

10.1103/PhysRevD.53.4930

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.

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