Abstract

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 +eμˉ+ e \barμ with a branching ratio of order 10−310^{-3}. We estimate that the currently available LHC data (20 inverse-fb at 8 TeV) could be sensitive to BR(t→eμˉBR(t \to e \barμ+ jet) ∼6×10−5 \sim 6\times 10^{-5}, and extrapolate that 100 inverse-fb at 13 TeV could reach a sensitivity of ∼1×10−5 \sim 1 \times 10^{-5}.

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