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.
Keywords
Cite
@article{arxiv.1011.4972,
title = {Diagrammatic Analysis of Charmless Three-Body B Decays},
author = {Nicolas Rey-Le Lorier and Maxime Imbeault and David London},
journal= {arXiv preprint arXiv:1011.4972},
year = {2013}
}
Comments
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