Zhen-Hua Zhang, Ya-Dong Yang, Xin-Heng Guo, Gang Lü, Anton Wiranata
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: $B^+\to\bar{D^0}\rho^+$, $B^0\to D^-\rho^+$, and $B^0_s\to D^-_s\rho^+$, and increases the branching ratio by about 10% for $\Lambda_b^0\to\Lambda_c^+\rho^-$.
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http://arxiv.org/abs/1302.0998
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