Charmless Three-body Decays of B Mesons
| dc.creator | Cheng, Hai-Yang | |
| dc.creator | Chua, Chun-Khiang | |
| dc.creator | Soni, Amarjit | |
| dc.date | 2007-04-08 | |
| dc.date | 2007-10-02 | |
| dc.date.accessioned | 2026-07-07T10:59:27Z | |
| dc.date.available | 2026-07-07T10:59:27Z | |
| dc.description | Charmless 3-body decays of B mesons are studied in the framework of the factorization approach. The nonresonant contributions arising from $B\to P_1P_2$ transitions are evaluated using heavy meson chiral perturbation theory (HMChPT). The momentum dependence of nonresonant amplitudes is assumed to be in the exponential form $e^{-α_{NR}} p_B\cdot(p_i+p_j)}$ so that the HMChPT results are recovered in the soft meson limit $p_i, p_j\to 0$. In addition, we have identified another large source of the nonresonant signal in the matrix elements of scalar densities, e.g. $<K\bar K|\bar ss|0>$, which can be constrained from the decay $\bar B^0\to K_SK_SK_S$ or $B^-\to K^-K_SK_S$. The intermediate vector meson contributions to 3-body decays are identified through the vector current, while the scalar meson resonances are mainly associated with the scalar density. Their effects are described in terms of the Breit-Wigner formalism. Our main results are: (i) All KKK modes are dominated by the nonresonant background. The predicted branching ratios of $K^+K^-K_{S(L)}$, $K^+K^-K^-$ and $K^-K_SK_S$ modes are consistent with the data within errors. (ii) Although the penguin-dominated $B^0\to K^+K^-K_{S}$ decay is subject to a potentially significant tree pollution, its effective $\sin 2β$ is very similar to that of the $K_SK_SK_S$ mode. However, direct CP asymmetry of the former, being of order -4%, is more prominent than the latter. (iii) For $B\to Kππ$ decays, we found sizable nonresonant contributions in $K^-π^+π^-$ and $\bar K^0π^+π^-$ modes, in agreement with the Belle measurements but larger than the BaBar result. | |
| dc.description | 39 pages, 2 figures, version to appear in PRD | |
| dc.identifier | https://arxiv.org/abs/0704.1049 | |
| dc.identifier | http://arxiv.org/abs/0704.1049 | |
| dc.identifier | Phys.Rev.D76:094006,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.094006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187404 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Experiment | |
| dc.title | Charmless Three-body Decays of B Mesons | |
| dc.type | text |