Lepton Flavour Violating top decays at the LHC

We consider lepton flavour violating decays of the top quark, mediated by four-fermion operators. We compile constraints on a complete set of SU(3)*U(1)-invariant operators, arising from their loop contributions to rare decays and from HERA’s single top search. The bounds on e-mu flavour change are more restrictive than l-tau; nonetheless the top could decay to a jet $+ e \bar{\mu}$withabranchingratiooforder$10^{-3}$. We estimate that the currently available LHC data (20 inverse-fb at 8 TeV) could be sensitive to $BR(t\to e\bar{\mu }$+ jet) $\sim 6\times {10}^{-5}$, and extrapolate that 100 inverse-fb at 13 TeV could reach a sensitivity of $\sim 1\times {10}^{-5}$.