The use of early data on B --> rho pi decays

Details The use of early data on B --> rho pi decays The use of early data on B --> rho pi decays

2000-01-28

arxiv.org/abs/hep-ph/0001290v1

Phys.Rev.D62:054002,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Revtex, 1 figure

Scientific paper

10.1103/PhysRevD.62.054002

This paper reviews the Dalitz plot analysis for the decays $B^0(\bar B^0) \to \rho \pi \to \pi^+ \pi^- \pi^0$. We discuss what can be learned about the ten parameters in this analysis from untagged and from tagged time-integrated data. We find that, with the important exception of the interesting CP violating quantity $\alpha$, the parameters can be determined from this data sample -- and, hence, they can be measured at CLEO as well as at the asymmetric $B$ factories. This suggests that the extraction of $\alpha$ from the time-dependent data sample can be accomplished with a smaller data sample (and, therefore, sooner) than would be required if all ten parameters were to be obtained from that time-dependent data sample alone. We also explore bounds on the shift of the true angle $\alpha$ from the angle measured from charged $\rho$ final states alone. These may be obtained prior to measurements of the parameters describing the neutral $\rho$ channel, which are expected to be small.

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