Diagrammatic Analysis of Charmless Three-Body B Decays

Abstract

We express the amplitudes for charmless three-body B decays in terms of diagrams. In addition, we show how to use Dalitz-plot analyses to obtain decay amplitudes which are symmetric or antisymmetric under the exchange of two of the final-state particles. When annihilation-type diagrams are neglected, as in two-body decays, many of the exact, purely isospin-based results are modified, leading to new tests of the standard model (SM). Some of the tests can be performed now, and we find that present data agree with the predictions of the SM. Furthermore, contrary to what was thought previously, it is possible to cleanly extract weak-phase information from three-body decays, and we discuss methods for B -> K pi pi, K K Kbar, K Kbar pi and pi pi pi.

30 pages, 10 figures, reference updated, sentences added regarding indirect CP violation and CP of the final state. Significant text added describing how to obtain symmetric/antisymmetric decay amplitudes, results of the comparison of the predictions of the SM with present data for several decays, and the momentum dependence of the diagrams

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• Charmless Three-body Decays of B Mesons
• Measurement of CP violating asymmetries in B^0 -> K^+K^- K^0_S decays with a time-dependent Dalitz approach
• Isospin analysis of D0 decay to three pions
• Measuring gamma in B -> K pi pi Decays
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Cited by in corpus (29)

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• SU(3) Breaking in Charmless B Decays
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• Charmless B -> PPP Decays: the Fully-Symmetric Final State
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• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Measuring gamma with B -> K pi pi and B -> K K Kbar Decays
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• Extraction of the CP-violating phase $\gamma$ using $B\to K\pi \pi$ and $B\to KK\bar{K}$ decays
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• Extraction of the CKM phase $\gamma$ using charmless 3-body decays of $B$ mesons
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