Exploring new avenues to distinguish Dirac and Majorana neutrinos*

Neutrinos are the only known elementary fermions which might be their own antiparticles, i.e. they could be Majorana fermions. When a Majorana neutrino is exchanged in a process, it is possible to have lepton number violation. This has been used to propose various probes for Majorana neutrinos, such as the neutrinoless double beta decay. Additionally, since a Majorana neutrino is quantum mechanically indistinguishable from its antiparticle, quantum statistical considerations could as well be exploited. Since neutrino and antineutrino are never detected close to their point of production, formulating such quantum statistical probes have always been challenging. In this talk we will present a few ideas that exploit quantum statistics to probe the couplings of Majorana neutrinos. These probes are interesting because they are not necessarily constrained by the smallness of neutrino mass. Such probes can potentially probe whether neutrinos participate in any non-standard interactions as well.