Search for the lepton-flavour-violating decays $B^{0}_{s}\toτ^{\pm}μ^{\mp}$ and $B^{0}\toτ^{\pm}μ^{\mp}$
A search for $B^{0}_{s}\toτ^{\pm}μ^{\mp}$ and $B^{0}\toτ^{\pm}μ^{\mp}$ decays is performed using data corresponding to an integrated luminosity of 3 fb$^{-1}$ of proton-proton collisions, recorded with the LHCb detector in 2011 and 2012. For this search, the $τ$ lepton is reconstructed in the $τ^{-}\toπ^{-}π^{+}π^{-}ν_τ$ channel. No significant signal is observed. Assuming no contribution from $B^{0}\toτ^{\pm}μ^{\mp}$ decays, an upper limit is set on the $B^{0}_{s}\toτ^{\pm}μ^{\mp}$ branching fraction of $\mathcal{B}\left( B^{0}_{s}\toτ^{\pm}μ^{\mp}\right) < 4.2\times 10^{-5}$ at $95\%$ confidence level. If instead no contribution from $B^{0}_{s}\toτ^{\pm}μ^{\mp}$ decays is assumed, a limit of $\mathcal{B}\left( B^{0}\toτ^{\pm}μ^{\mp}\right) < 1.4\times 10^{-5}$ is obtained at $95\%$ confidence level. These are the first limit on $\mathcal{B}\left( B^{0}_{s}\toτ^{\pm}μ^{\mp}\right)$ and the world's best limit on $\mathcal{B}\left( B^{0}\toτ^{\pm}μ^{\mp}\right)$.