Direct CP Violation, Branching Ratios and Form Factors B → π, B → K in B Decays

الأصل · EN

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 Fᵇ → π= 0.31 ± 0.12 and Fᵇ → ᵏ= 0.37± 0.13. We calculate the direct CP violating asymmetry parameter, aCP, 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 B⁰ → π⁺ π⁻ K⁰, 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 case of b→ u and γ in case of b → s.