Systematic analysis of the form factors of $B_c\to \hat{I}{\cdot }_c$, $J/\ddot{I}ˆ$ and corresponding weak decays

Abstract

The form factors of $B_c\to \hat{I}{\cdot }_c$ and $B_c\to J/\ddot{I}ˆ$ are analyzed in the framework of three-point QCD sum rules. In these analyses, the contributions of the vacuum condensate terms $⟨g_s^{2}GG⟩$ and $⟨g_s^{3}GGGf⟩$ are considered. In addition, the decay widths and branching ratios of several decay channels are obtained by using the calculated form factors. These decay processes include the nonleptonic decays of $B_c^{-}\to \hat{I}{\cdot }_c\ddot{I}{€}^{-}$, $\hat{I}{\cdot }_c{K}^{-}$, $\hat{I}{\cdot }_c\ddot{I}{}^{-}$, $\hat{I}{\cdot }_c{K}^{\ast -}$, $B_c^{-}\to J/\ddot{I}ˆ\ddot{I}{€}^{-}$, $J/\ddot{I}ˆK^{-}$, $J/\ddot{I}ˆ\ddot{I}{}^{-}$, $J/\ddot{I}ˆK^{\ast -}$, and the semileptonic decays of $B_c^{-}\to \hat{I}{\cdot }_{c}l\bar{\hat{I}}½$, $B_c^{-}\to J/\ddot{I}ˆl\bar{\hat{I}}½$. These results about the form factors and decay properties of $B_c$ meson provide useful information for us to study the heavy-quark dynamics and find new physics(NP) beyond Standard Model(SM).