Direct CP Violation, Branching Ratios and Form Factors B --> pi, B --> K in B decays
The B {yields} {pi} and B {yields} 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 {yields} {pi} and B {yields} K depending on the CKM matrix element parameters {rho} and {eta}. From this analysis, the form factors required to reproduce the experimental data for branching ratios are F{sup B {yields} {pi}} = 0.31 {+-} 0.12 and F{sup B {yields} K} = 0.37 {+-} 0.13. We calculate the direct CP violating asymmetry parameter, a{sub CP}, for B {yields} {pi}{sup +}{pi}{sup -}{pi} and B {yields} {pi}{sup +}{pi}{sup -} K decays, in the case where {rho} - {omega} mixing effects are taken into account. Based on these results, we find that the direct CP asymmetry for B{sup -} {yields} {pi}{sup +}{pi}{sup -}{pi}{sup -}, {bar B}{sup 0} {yields} {pi}{sup +}{pi}{sup -}{pi}{sup 0}, B{sup -} {yields} {pi}{sup +}{pi}{sup -}K{sup -}, and {bar B}{sup 0} {yields} {pi}{sup +}{pi}{sup -} {bar K}{sup 0}, reaches its maximum when the invariant mass {pi}{sup +}{pi}{sup -} is in the vicinity of the {omega} meson mass. The inclusion of {rho} - {omega} mixing provides an opportunity to erase, without ambiguity, the phase uncertainty mod{pi} in the determination of th CKM angles {alpha} in case of b {yields} u and {gamma} in case of b {yields} s.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 834959
- Report Number(s):
- JLAB-THY-04-42; DOE/ER/40150-3023; hep-ph/0411392; TRN: US0407404
- Resource Relation:
- Other Information: No journal information given for this preprint; PBD: 1 Nov 2004
- Country of Publication:
- United States
- Language:
- English
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