Determining the phases α and γ from time - dependent CP violation in B 0 decays to ρ ( ω ) + pseudoscalar

A method is proposed for the determination of the unitarity angle α through tree penguin interference. The modes needed would be of the form B/B 0 → ρM and B/B 0 → ωM where M is spin-0 uu/dd meson, for instance M = π, η, η, a0 or f0. An analogous method can also determine γ using M = KS or KL. The validity of the theoretical approximations used may be tested by over determining α with several modes. If two or more modes are used, the determination has a four-fold ambiguity but additional information from pure penguin decays or theoretical estimates may be used to reduce the ambiguity to α, α+ π. The method as applied to determining γ is probably less promising. The early indications of CP violation [1, 2, 3] in the neutral B system is an important development in our understanding of this phenomenon. It is expected that in the near future the angle β of the unitarity triangle will be determined with considerable accuracy. This is a crucial first step in the program of verifying that the Cabibbo-Kobayashi-Maskawa (CKM) matrix [4] of the Standard Model is the origin of CP-violation in the B and K systems. To complete this task, the more difficult angles α and γ also need to be determined. Information about these angles, when combined with the information concerning the sides of the CKM triangle [5], will either provide email: [email protected] email: [email protected]