Studies of lepton flavor violation at the LHC

We examine the charged lepton flavor violating process gg→μ±τ∓ at the s=13 TeV LHC. Operators generating this process can be induced by new physics (NP) at dimension 8. Despite the power suppression associated with dimension 8 operators, we show that the LHC's large gluon luminosity makes it possible to probe this channel. For an integrated luminosity of 100 fb−1 at the LHC, we predict a constraint on the NP scale Λ≳3 TeV. In addition, we point out that such operators can be induced through top quark loops in models that generate dimension 6 operators of the form t‾tμτ. We find that the NP scale of these dimension 6 operators can be constrained to be Λ≳3.4-4.1 TeV with 100 fb−1 of data.