Oscillating asymmetric sneutrino dark matter from the maximally U(1)L supersymmetric inverse seesaw

The inverse seesaw mechanism provides an attractive approach to generate small neutrino mass, which origins from a tiny U(1)LU(1)L breaking. In this paper, we work in the supersymmetric version of this mechanism, where the singlet-like sneutrino could be an asymmetric dark matter (ADM) candidate in the maximally U(1)LU(1)L symmetric limit. However, even a tiny δm  , the mass splitting between sneutrino and anti-sneutrino as a result of the tiny U(1)LU(1)L breaking effect, could lead to fast oscillation between sneutrino and anti-sneutrino and thus spoils the ADM scenario. We study the evolution of this oscillation and find that a weak scale sneutrino, which tolerates a relatively larger δm∼10−5 eVδm∼10−5 eV, is strongly favored. We also investigate possible natural ways to realize that small δm in the model.