The Study of Rare $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ Decays

Abstract

In this paper, we study rare decays $B_c\to D_{s,d}^{(\ast )}l\bar{l}$ within the Standard Model. The penguin, box, annihilation, color-favored cascade and color-suppressed cascade contributions are included. Based on our calculation, the annihilation and color-favored cascade diagrams play important roles in the differential branching fractions, forward-backward asymmetries, longitudinal polarizations of the final vector mesons and leptonic longitudinal polarization asymmetries. More importantly, color-favored cascade decays largely enhance the resonance cascade contributions. To avoid the resonance cascade contribution pollution, new cutting regions are put forward.

34 pages, 13 figures

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Cited by in corpus (5)

• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect
• The Production of $X(3940)$ and $X(4160)$ in $B_c$ decays
• Rare radiative decays of the $B_c$ meson
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays