Color suppressed contributions to the decay modes B_{d,s} -> D_{s,d} D_{s,d}, B_{d,s} -> D_{s,d} D^*_{s,d}, and B_{d,s} -> D^*_{s,d} D^*_{s,d}

preprint2005arXivOpen access

Abstract

The amplitudes for decays of the type Bd,s→Ds,dDs,dB_{d,s} \to D_{s,d} D_{s,d}, have no factorizable contributions, while Bd,s→Ds,dDs,d∗B_{d,s} \to D_{s,d} D^*_{s,d}, and Bd,s→Ds,d∗Ds,d∗B_{d,s} \to D^*_{s,d} D^*_{s,d} have relatively small factorizable contributions through the annihilation mechanism. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes which can be obtained in terms of soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processes Bˉd0→Ds+Ds−\bar B^0_d \to D_s^+ D_s^-, Bˉd0→Ds+∗Ds−\bar B^0_d \to D_s^{+*} D_s^- and Bˉd0→Ds+Ds−∗\bar B^0_d \to D_s^+ D_s^{-*} are all of order (2−3)×10−4(2- 3) \times 10^{-4}, while Bˉs0→Dd+Dd−\bar B^0_s \to D_d^+ D_d^-, Bˉs0→Dd+∗Dd−\bar B^0_s \to D_d^{+*} D_d^- and Bˉs0→Dd+Dd−∗\bar B^0_s \to D_d^+ D_d^{-*} are of order (4−7)×10−3(4- 7) \times 10^{-3}. We obtain branching ratios for two D∗D^*'s in the final state of order two times bigger.

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