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We study the impact of heavy vector-like leptons on several observables incollider and low-energy physics. These states, present in many well-motivatedextensions of the Standard Model, can induce lepton flavour violation andnon-standard Higgs decays. We study these effects in an effective modelinspired by the composite Higgs scenario. After deriving bounds on the mass andproduction cross-section of the vector-like states using recent LHC data onmultilepton searches, we discuss the modification of the Higgs decays todilepton, diphoton and $Z\gamma$ final states as well as low-energy observableslike radiative lepton decays, the anomalous magnetic moment of the muon and theelectric dipole moment of the electron. We find several interestingcorrelations. In particular, we show that branching fractions of leptonflavour-violating Higgs decays at an observable level are prohibited due to thestrong bounds on the radiative lepton decays.

Vector-like leptons: Higgs decays and collider phenomenology