Direct CP violation, branching ratios and form factors B → π, B → K in B decays

dc.contributor.authorLeitner, O.
dc.contributor.authorGuo, X.
dc.contributor.authorThomas, A.
dc.date.issued2005
dc.description.abstractThe 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<sup>B→π</sup> = 0.31±0.12 and F<sup>B→K</sup> = 0.37 ± 0.13. We calculate the direct CP violating asymmetry parameter, a<inf>CP</inf>, for B → π<sup>+</sup>π<sup>-</sup>π and B → π<sup>+</sup>π <sup>-</sup> 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<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup>, →B<sup>0</sup> → π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>, B<sup>-</sup> → π<sup>+</sup>π<sup>-</sup>K<sup>-</sup> and B̄<sup>0</sup> → π<sup>+</sup>π<sup>-</sup>K̄<sup>0</sup>, reaches its maximum when the invariant mass π<sup>+</sup>π<sup>-</sup> 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.
dc.description.statementofresponsibilityO. Leitner, X.-H. Guo and A.W. Thomas
dc.identifier.citationJournal of Physics G: Nuclear and Particle Physics, 2005; 31(3):199-253
dc.identifier.doi10.1088/0954-3899/31/3/004
dc.identifier.issn0954-3899
dc.identifier.issn1361-6471
dc.identifier.orcidThomas, A. [0000-0003-0026-499X]
dc.identifier.urihttp://hdl.handle.net/2440/58123
dc.language.isoen
dc.publisherIOP Publishing Ltd
dc.rights© 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.
dc.source.urihttp://arxiv.org/abs/hep-ph/0411392
dc.subjectHigh Energy Physics - Phenomenology (hep-ph)
dc.titleDirect CP violation, branching ratios and form factors B → π, B → K in B decays
dc.title.alternativeDirect CP violation, branching ratios and form factors B ---> PI, B ---> K in B decays
dc.typeJournal article
pubs.publication-statusPublished

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