Dark Matter and $(g-2{)}_{e,\hat{I}¼}$ in ISS(2,3) based Gauged $U(1{)}_{L_e-L\hat{I}¼}$ Symmetric Model

Abstract

We proposed a model which can explain the neutrino phenomenology, dark matter and anomalous magnetic moment$(g-2)$ in a common framework. The inverted sea saw (ISS)(2,3) mechanism has been incorporated, in which we get an extra sterile state and this state act as a viable dark matter candidate. The right handed neutrino mass is obtained in TeV scale, which is accessible at LHC. The anomaly free $U(1{)}_{L_e-L\hat{I}¼}$ gauge symmetry is introduced to explain the anomalous magnetic moment of electron and muon because it provides a natural origin of $(g-2)$ in a very minimal setup. The corresponding MeV scale gauge boson successfully explain the anomalous magnetic moment of electron and muon$(g-2{)}_{e,\hat{I}¼}$, simultaneously. Thus obtained neutrino phenomenology and relic abundance of dark matter are compatible with experimental results.

16 pages, 4 figures, 2 tables