  Inspired by the potential prospects of ${\Upsilon}(nS)$ data samples ($n$ $=$
$1$, $2$, $3$) at LHC and SuperKEKB, ${\Upsilon}(nS)$ ${\to}$ $B_{c}{\rho}$,
$B_{c}K^{\ast}$ decays are studied phenomenologically with pQCD approach.
Branching ratios for ${\Upsilon}(nS)$ ${\to}$ $B_{c}{\rho}$ and $B_{c}K^{\ast}$
decays are estimated to reach up to ${\cal O}(10^{-11})$ and ${\cal
O}(10^{-12})$, respectively. Given the identification and detection efficiency
of final states, searching for these weak decay modes should be fairly
challenging experimentally in the future.
