ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract. Direct CP violation in the hadronic decays $\Bar{B}^{0} \rightarrow \pi^{ + }\pi^{-} \pi^{0}$ is investigated near the peak of the $\rho^{0}$ , taking into account the effect of $\rho $ - $ \omega$ mixing. The branching ratios for the processes $B^{\pm,0} \rightarrow \rho^{\pm,0}\pi^{\pm,0}$ and $B^{-} \rightarrow \omega \pi^{-}$ are calculated as well. We find that the CP violating asymmetry is strongly dependent on the CKM matrix elements. For a fixed N c eff, the CP violating asymmetry, a CP , has a maximum of order $-40\%$ to $- 70\%$ for $\Bar{B}^{0} \rightarrow \rho^{0}(\omega) \pi^{0}$ when the invariant mass of the $\pi^{ + }\pi^{-}$ pair is in the vicinity of the $ \omega$ resonance. The sensitivity of the asymmetry to N c eff is small in that case. Moreover, we find that in the range of N c eff which is allowed by the most recent experimental branching ratios from the BABAR, BELLE and CLEO Collaborations, the sign of $\sin \delta$ is always positive. Thus, a measurement of direct CP violation in the decays $\Bar{B}^{0} \rightarrow \pi^{ + }\pi^{-} \pi^{0}$ would remove the $\mod(\pi)$ ambiguity in the determination of the CP violating phase angle $\alpha$ .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1140/epjc/s2003-01332-0
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