Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Comments: 13 pages, 4 eps figures, 1 table, needs axodraw.sty, espcrc2.sty, minor changes in the text, a few references added,

Scientific paper

10.1016/j.physletb.2005.07.022

B decays into pion pion K and K anti-K K, where the pion-pion and anti-K K pairs interact in isospin zero S-wave, are studied in the pion-pion effective mass range from threshold to 1.2 GeV. The interplay of strong and weak decay amplitudes is analyzed using an unitary pion-pion and K anti-K coupled channel model. Final state interactions are described in terms of four scalar form factors constrained by unitarity and chiral perturbation theory. Branching ratios for the B decay into f0(980)K, calculated in the factorization approximation with some QCD corrections, are too low as compared to recent data. In order to improve agreement with experiment, we introduce long-distance contributions called charming penguins. Effective mass distributions, branching ratios and asymmetries are compared with the existing data from BaBar and Belle collaborations. A particularly large negative asymmetry in charged B decays is predicted for one set of the charming penguin amplitudes.

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