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We consider a gauged U(1)$_{B-L}$ (Baryon-minus-Lepton number) extension ofthe Standard Model (SM), which is anomaly-free in the presence of threeRight-Handed Neutrinos (RHNs). Associated with the U(1)$_{B-L}$ symmetrybreaking the RHNs acquire their Majorana masses and then play the crucial roleto generate the neutrino mass matrix by the seesaw mechanism. Towards theexperimental confirmation of the seesaw mechanism, we investigate a RHN pairproduction through the U(1)$_{B-L}$ gauge boson ($Z^\prime$) at the 250 GeVInternational Linear Collider (ILC). The $Z^\prime$ gauge boson has beensearched at the Large Hadron Collider (LHC) Run-2 and its production crosssection is already severely constrained. The constraint will become morestringent by the future experiments with the High-Luminosity upgrade of the LHC(HL-LHC). We find a possibility that even after a null $Z^\prime$ boson searchresult at the HL-LHC, the 250 GeV ILC can search for the RHN pair productionthrough the final state with same-sign dileptons plus jets, which is a`smoking-gun' signature from the Majorana nature of RHNs. In addition, some ofRHNs are long-lived and leave a clean signature with a displaced vertex.Therefore, the 250 GeV ILC can operate as not only a Higgs Factory but also aRHN discovery machine to explore the origin of the Majorana neutrino massgeneration, namely the seesaw mechanism.

Probing the seesaw mechanism at the 250 GeV ILC