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We study a renormalizable theory that includes a heavy weak-singletvectorlike lepton, $\tau^\prime$, that decays into a pseudoscalar boson and atau lepton. We show that this can be the dominant decay mode of $\tau^\prime$provided the pseudoscalar couplings deviate from the case of a Nambu-Goldstoneboson. For a range of parameters, the pseudoscalar is long-lived, and mainlydecays into a photon pair at one loop, or into a tau pair at tree level.Electroweak production of $\tau^{\prime +} \tau^{\prime -}$ leads to a richphenomenology at colliders, including signals with many taus or photons. Weanalyze in detail the LHC signal involving two prompt taus and two displacedphoton pairs. Particularly interesting is the case where the pseudoscalar has adecay length of a few meters and thus would typically deposit energy in themuon chambers of the CMS or ATLAS detectors.

Vectorlike leptons and long-lived bosons at the LHC