Charmless decays B->pipi, piK and KK in broken SU(3)symmetry

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Charmless B decay modes B → ππ, πK and KK aresystematically investigated with and without flavor SU(3) symmetry. Independent analyses on ππ and πK modes both favor a large ratio between color-suppressed tree (C) and tree (T) diagram, which suggests that they are more likely to originate from long distance effects. The sizes of QCD penguin diagrams extracted individually from ππ, πK and KK modes are found to follow a pattern of SU(3) breaking in agreement with the naive factorization estimates. Global fits to these modes are done under various scenarios of SU(3)relations. The results show good determinations of weak phase γ in consistency with the Standard Model (SM), but a large electro-weak penguin (PEW) relative to T + C with a large relative strong phase are favored, which requires an big enhancement of color suppressed electro-weak penguin (PEWᶜ) compatible in size but destructively interfering with PEW within the SM, or implies new physics. Possibility of sizable contributions from nonfactorizable diagrams such as W-exchange (E), annihilation(A) and penguin-annihilation diagrams(Pₐ) are investigated. The implications to the branching ratios and CP violations in K Kmodes are discussed.