Extraction of $α$ From the CP Asymmetry in B^0/\bar B^0 --> pi+ pi- Decays

Details Extraction of $α$ From the CP Asymmetry in B^0/\bar B^0 --> pi+ pi- Decays Extraction of $α$ From the CP Asymmetry in B^0/\bar B^0 --> pi+ pi- Decays

1995-12-18

arxiv.org/abs/hep-ph/9512341v1

Commun.Theor.Phys. 27 (1997) 457-464

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, Latex, three figures available upon request

Scientific paper

The influence of strong and electroweak penguin amplitudes in $B/ \bar B \rightarrow \pi^+\pi^-$ is investigated in connection with the determination of the unitarity triangle angle $\alpha$ of the CKM matrix. A relation between the observable asymmetry, the angle $\alpha$, and the penguin amplitude is established. A model calculation of the penguin amplitude shows that the CP asymmetry in $B^{0}\rightarrow \pi^{+}\pi^{-}$ decays is only mildly influenced by the penguin amplitudes. Experimental limits on pure penguin and penguin dominated processes are consistent with the model. This information also suggests in a rather model independent way that penguin amplitudes will not be a serious complicating factor in the determination of $\alpha$ from the $\pi^{+}\pi^{-}$ time dependent asymmetry.

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