Production of charged $\rho$ meson in bottom hadron charmed decays and the effect of the finite width correction of the $\rho$ meson

Abstract

We calculate the branching ratio of a bottom hadron decaying into a charmed hadron and a charged $\rho$ meson within the QCD factorization approach. We consider the effect of the finite width correction of the $\rho$ meson. Our numerical calculation shows an obvious correction because of this effect. We find that the finite width effect of the $\rho$ meson reduces the branching ratios by about 9% to 11% for bottom meson decay channels: $B^{+}\to \overline{D^0}{\rho }^{+}$, $B^0\to D^{-}{\rho }^{+}$, and $B_s^0\to D_s^{-}{\rho }^{+}$, and increases the branching ratio by about 10% for ${\Lambda }_b^0\to {\Lambda }_c^{+}{\rho }^{-}$.

Comments: 12 pages