We study the evolution of the lepton number for a $SU(2)$ doublet consisting of a massive neutrino and a charged lepton. By choosing a specific initial lepton family for a neutrino we can compute the evolution of all lepton family numbers. Our framework results in additional oscillation phases that are important for nonrelativisitc neutrinos. We study the phenomenology of relativistic and nonrelativistic neutrino physics under this framework. The nonrelativistic region is of particular interest due to the Cosmic Neutrino Background (C$\nu$B) predicted from big bang models. Furthermore, we include important damping effects on the oscillations for the nonrelativistic region by considering a lepton number density. This is based on the works of arXiv:2101.07751 [hep-ph] and arXiv:2106.02783 [hep-ph].
|Attendance type||Virtual presentation|