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

Abstract

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.

Comments: 13 pages, 4 eps figures, 1 table, needs axodraw.sty, espcrc2.sty, minor changes in the text, a few references added, results unchanged; to be published in Phys. Lett. B

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• Testing QCD factorisation and charming penguins in charmless $\mathbf{B}\to \mathbf{PV}$
• Measurements of the Branching Fraction and CP-Violation Asymmetries in B^0-->f0(980)Ks
• Measurements of the Branching Fractions and Bounds on the Charge Asymmetries of Charmless Three-Body Charged B Decays
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Cited by in corpus (55)

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• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
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• $S$-wave resonance contributions to the $B_{(s)}^0\to {\eta }_c(2S){\pi }^{+}{\pi }^{-}$ in the perturbative QCD factorization approach
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• Three-body decays $B\to \varphi (\rho )K\gamma$ in perturbative QCD approach
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• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
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• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
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• Scalar resonances: scattering and production amplitudes
• Analysis of $CP$ violation in $D^0\to K^{+}{K}^{-}{\pi }^0$
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
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• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
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