Leitner, O.Guo, X.Thomas, A.2010-05-102010-05-102005Journal of Physics G: Nuclear and Particle Physics, 2005; 31(3):199-2530954-38991361-6471http://hdl.handle.net/2440/58123The B → π and B → K transitions involved in hadronic B decays are investigated in a phenomenological way through the framework of QCD factorization. By comparing our results with experimental branching ratios from the BELLE, BABAR and CLEO collaborations for all the B decays including either a pion or a kaon, we propose boundaries for the transition form factors B → π and B → K depending on the CKM matrix element parameters ρ and η. From this analysis, the form factors required to reproduce the experimental data for branching ratios are F^B→π = 0.31±0.12 and F^B→K = 0.37 ± 0.13. We calculate the direct CP violating asymmetry parameter, a<inf>CP</inf>, for B → π⁺π^-π and B → π⁺π ^- K decays, in the case where ρ-ω mixing effects are taken into account. Based on these results, we find that the direct CP asymmetry for B^- → π⁺π^-π^-, →B⁰ → π⁺π^-π⁰, B^- → π⁺π^-K^- and B̄⁰ → π⁺π^-K̄⁰, reaches its maximum when the invariant mass π⁺π^- is in the vicinity of the ω meson mass. The inclusion of ρ-ω mixing provides an opportunity to erase, without ambiguity, the phase uncertainty mod(ω) in the determination of the CKM angles α in the case of b → u and γ in the case of b → s. © 2005 IOP Publishing Ltd.en© IOP Publishing 2005.Submitted to Cornell University’s online archive www.arXiv.org in 2005 by Olivier Leitner.Post-print sourced from www.arxiv.org.High Energy Physics - Phenomenology (hep-ph)Journal article002009621010.1088/0954-3899/31/3/0040002275020000062-s2.0-1484431858935226Thomas, A. [0000-0003-0026-499X]