The $\mathrm{{\rm Y}}(1S)$ $\to$ $B_c\rho$ decay with perturbative QCD approach

With the potential prospects of the $\mathrm{{\rm Y}}(1S)$ data samples at the running LHC and upcoming SuperKEKB, the $\mathrm{{\rm Y}}(1S)$ $\to$ $B_c\rho$ weak decays are studied with the pQCD approach. It is found that (1) the lion’s share of branching ratio comes from the longitudinal polarization helicity amplitudes; (2) branching ratio for the $\mathrm{{\rm Y}}(1S)$ $\to$ $B_c\rho$ decay can reach up to $\mathcal{O}({10}^{-9})$, which might be hopefully measurable.