With the potential prospects of the ${ \Upsilon}(1S)$ data samples at the running LHC and upcoming SuperKEKB, the ${ \Upsilon}(1S)$ ${ \to}$ $B_{ c}{ \rho}$ 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 ${ \Upsilon}(1S)$ ${ \to}$ $B_{ c}{ \rho}$ decay can reach up to ${ \cal O}(10^{ -9})$, which might be hopefully measurable.
Categories: hep-ph