The inverse seesaw mechanism provides an attractive approach to generate
small neutrino mass, which origins from a tiny U(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)L​ symmetric limit. However, even a tiny δm, the
mass splitting between sneutrino and anti-sneutrino as a result of the tiny
U(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 eV, is strongly favored. We also
investigate possible natural ways to realize that small δm in the
model.Comment: PLB versio