Determination of γ from charmless B±→M0M± decays using U-spin

U-spin multiplet approach is applied to the full set of charmless hadronic B±→M0M± decays for the purpose of precise extraction of the unitarity angle γ. Each of the four data sets, P0P±, P0V±, V0P± and V0V±, with P≡ pseudoscalar and V≡ vector, can be used to yield a precise value of γ. The crucial advantage of this method over the common SU(3) symmetry based quark-diagrammatic approach is that no assumptions regarding relative sizes of topological decay amplitudes need to be made. As a result, this method avoids an uncontrollable theoretical uncertainty that is related to the neglect of some topological diagrams (e.g., exchange and annihilation graphs) in the SU(3) approach. Application of the U-spin approach to the current data yields: γ=(54−11+12)°. We find that improved measurements of ϕπ± and K¯∗0K± branching ratios would lead to appreciably better extraction of γ. In this method, which is completely data driven, in a few years we should be able to obtain a model independent determination of γ with an accuracy of O(few degrees).