DirectCPviolation, branching ratios and form factorsB→ π,B→KinBdecays
In: Journal of Physics G: Nuclear and Particle Physics, Jg. 31 (2005-01-19), S. 199-253
Online
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Zugriff:
The $B \to \pi$ and $B \to K$ transitions involved in hadronic B decays are investigated in a phenomenological way through the framework of QCD factorization. By comparing our results with experimental branching ratios from the BELLE, BABAR and CLEO Collaborations for all the B decays including either a pion or a kaon, we propose boundaries for the transition form factors $B \to \pi$ and $B \to K$ depending on the CKM matrix element parameters $\rho$ and $\eta$. From this analysis, the form factors required to reproduce the experimental data for branching ratios are $F^{B \to \pi}= 0.31 \pm 0.12$ and $F^{B \to K}= 0.37\pm 0.13$. We calculate the direct CP violating asymmetry parameter, $a_{CP}$, for $B \to \pi^{+} \pi^{-} \pi$ and $B \to \pi^{+} \pi^{-} K$ decays, in the case where $\rho-\omega$ mixing effects are taken into account. Based on these results, we find that the direct CP asymmetry for $B^{-} \to \pi^{+} \pi^{-} \pi^{-}$, $\bar{B}^{0} \to \pi^{+} \pi^{-} \pi^{0}$, $B^{-} \to \pi^{+} \pi^{-} K^{-}$, and $\bar{B}^{0} \to \pi^{+} \pi^{-} \bar{K}^{0}$, reaches its maximum when the invariant mass $\pi^{+} \pi^{-}$ is in the vicinity of the $\omega$ meson mass. The inclusion of $\rho-\omega$ mixing provides an opportunity to erase, without ambiguity, the phase uncertainty mod$(\pi)$ in the determination of the CKM angles $\alpha$ in case of $b\to u$ and $\gamma$ in case of $b \to s$.
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DirectCPviolation, branching ratios and form factorsB→ π,B→KinBdecays
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Autor/in / Beteiligte Person: | Guo, X.-H. ; Leitner, O. ; Thomas, Anthony W. |
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Zeitschrift: | Journal of Physics G: Nuclear and Particle Physics, Jg. 31 (2005-01-19), S. 199-253 |
Veröffentlichung: | IOP Publishing, 2005 |
Medientyp: | unknown |
ISSN: | 1361-6471 (print) ; 0954-3899 (print) |
DOI: | 10.1088/0954-3899/31/3/004 |
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