Heavy long-lived fractionally charged leptons in novel $3-3-1$ model

It was explored a new $SU(3{)}_L\otimes U(1{)}_X$ electroweak extension of the Standard Model, where new particles arise with peculiar signatures as heavy fractionally charged leptons and electrical neutral quarks, among others. We examine the branching fraction and the lifetime of new heavy leptons in order to discriminate if they could be identified as long-lived particle candidates. In addition, it was compared the production cross-section for these exotic leptons through a Drell-Yan process for the LHC and future hadron facilities.