A simple extension of the SM that can explain the ()μ anomaly, small neutrino mass and a dark matter

Abstract

In this work we propose a simple extension of the Standard Model (SM) by adding to it eleven new particles. Three heavy lepton (fe, fμ, fτ), singlets under carrying respective lepton numbers, charged under with Y = −2 and transforming under a discrete symmetry as . One scalar (ϕ2), a singlet under all the SM gauge groups and transforms under the discrete symmetry as which does not develop a non zero vacuum-expectation-value (VEV). One more scalar (ϕ3), a singlet under all the SM gauge groups and invariant under discrete symmetry which develops a non zero VEV (v3) and gives masses to fis, ϕ2 and neutrinos. Three right handed neutrinos () and three left handed Majorana neutrinos (siL). With these new additional particles added to the SM we have been able to give explanations to the long standing muon (g-2) anomaly as well as the smallness of neutrino masses by the inverse seesaw mechanism. Also in this model we have a very suitable scalar dark matter (DM) candidate in ϕ2 with allows a mass as high as 53 GeV, although due to a large Yukawa coupling required to explain the muon (g-2), its contribution to the DM relic density turn out to be too small and so it can account only for a small fraction of the DM relic density of the Universe.