We consider lepton-flavour violating decays of the top quark, mediated by 4-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–μ flavour change are more restrictive than on ℓ–τ; nonetheless the top could decay to a jet with a branching ratio of order 10-3. We estimate that the currently available LHC data (20 fb-1 at 8 TeV) could be sensitive to + jet) ∼ 6 × 10-5, and we extrapolate that 100 fb-1 at 13 TeV could reach a sensitivity of ∼ 1 × 10-5.
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