2013/08/31 by Hai-Yang Cheng, Chun-Khiang Chua · 1 citation
Physics and Astronomy · #hep-ph #hep-ex
paper · pdf · doi:10.1103/physrevd.88.114014
published as Phys. Rev. D 88, 114014 (2013) · 38 pages, Tables III-XI are revised, to appear in Phys. Rev. D
arxiv created 2013/11/20 · arxiv updated 2013/12/16
Charmless three-body decays of B mesons is studied using a simple model based on the framework of the factorization approach. Hadronic three-body decays receive both resonant and nonresonant contributions. Dominant nonresonant contributions to tree-dominated three-body decays arise from the b→ u tree transition which can be evaluated using heavy meson chiral perturbation theory valid in the soft meson limit. For penguin-dominated decays, nonresonant signals come mainly from the penguin amplitude governed by the matrix elements of scalar densities <M1M2| q1 q2|0>. We use the measurements of B0→ KSKSKS to constrain the nonresonant component of <K K| ss|0>. The intermediate vector meson contributions to three-body decays are identified through the vector current, while the scalar meson resonances are mainly associated with the scalar density. While the calculated direct CP violation in B-→ K+K-K- and B-→ π+π-π- decays agrees well with experiment in both magnitude and sign, the predicted CP asymmetries in B-→ π- K+K- and B-→ K-π+π- are wrong in signs when confronted with experiment. It has been conjectured recently that a possible resolution to this CP puzzle may rely on final-state rescattering of π+π- and K+K-. Assuming a large strong phase associated with the matrix element <Kπ| sq|0> arising from some sort of power corrections, we fit it to the data of K-π+π- and find a correct sign for π- K+K-.