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The ${\Upsilon}(1S)$ ${\to}$ $B_{c}D_{s}^{\ast}$ weak decay is studied withthe perturbative QCD approach firstly. It is found that (1) main contributionsto branching ratio come from the longitudinal and parallel helicity amplitudes,(2) branching ratio, longitudinal and parallel polarization fractions aresensitive to the wave functions of the ${\Upsilon}(1S)$ meson, (3) branchingratio for the ${\Upsilon}(1S)$ ${\to}$ $B_{c}D_{s}^{\ast}$ decay can reach upto $10^{-9}$, which might be promisingly measured by the future experiments.

Study of the ${\Upsilon}(1S)$ ${\to}$ $B_{c}D_{s}^{\ast}$ decay with pQCD approach