2004/11/30 by O. Leitner, X. -H. Guo, X-H Guo +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1088/0954-3899/31/3/004
published as J.Phys.G31:199-253,2005 · 74 pages, 15 figures, 8 tables. A few misprints corrected, two references added
openalex publication_date 2005/01/19 · arxiv created 2005/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The 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 CP , 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 − , and , 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(π) in the determination of the CKM angles α in the case of b → u and γ in the case of b → s .