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

We consider a gauged B\(-\)L (Baryon number minus Lepton number) extension of the Standard Model (SM), which is anomaly free in the presence of three SM singlet Right Handed Neutrinos (RHNs). Associated with the \(U(1)_{\rm B-L}\) gauge symmetry breaking, the RHNs acquire Majorana masses and then with the electroweak symmetry breaking, tiny Majorana masses for the SM(-like) neutrinos are naturally generated by the seesaw mechanism. As a result of the seesaw mechanism, the heavy mass eigenstates which are mainly composed of the SM-singlet RHNs obtain suppressed electroweak interactions through small mixings with the SM neutrinos. To investigate the seesaw mechanism, we study the 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 model parameters from the search for a resonant \(Z^\prime\) boson production at the Large Hadron Collider (LHC), we focus on a "smoking-gun" signature of the Majorana nature of the heavy neutrinos: a final state with a pair of same-sign, same-flavor leptons, small missing momentum, and four hadronic jets. We estimate the projected significance of the signature at the ILC.