Interpretations of anomalous LHC events with electrons and jets

The CMS Collaboration has recently reported some excess events in final states with electrons and jets, in searches for leptoquarks and $W$ bosons. Although these excesses may be due to some yet-to-be-understood background mismodeling, it is useful to seek realistic interpretations involving new particles that could generate such events. We show that resonant pair production of vector-like leptons that decay to an electron and two jets leads to kinematic distributions consistent with the CMS data.