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We consider a gauged B$-$L (Baryon number minus Lepton number) extension ofthe Standard Model (SM), which is anomaly free in the presence of three SMsinglet Right Handed Neutrinos (RHNs). Associated with the $U(1)_{\rm B-L}$gauge symmetry breaking, the RHNs acquire Majorana masses and then with theelectroweak symmetry breaking, tiny Majorana masses for the SM(-like) neutrinosare naturally generated by the seesaw mechanism. As a result of the seesawmechanism, the heavy mass eigenstates which are mainly composed of theSM-singlet RHNs obtain suppressed electroweak interactions through smallmixings with the SM neutrinos. To investigate the seesaw mechanism, we studythe pair production of heavy Majorana neutrinos through the $U(1)_{\rm B-L}$gauge boson $Z^\prime$ at the 250 GeV and 500 GeV International Linear Collider(ILC). Considering the current and prospective future bounds on the B$-$L modelparameters from the search for a resonant $Z^\prime$ boson production at theLarge Hadron Collider (LHC), we focus on a "smoking-gun" signature of theMajorana nature of the heavy neutrinos: a final state with a pair of same-sign,same-flavor leptons, small missing momentum, and four hadronic jets. Weestimate the projected significance of the signature at the ILC.

Probing heavy Majorana neutrino pair production at ILC in a $U(1)_{\rm B-L}$ extension of the Standard Model