Phenomenology of $U(1)_{F}$ extension of inert-doublet model with exotic scalars and leptons

Abstract: In this work we will extend the inert-doublet model (IDM) by adding a new $U(1){F}$ gauge symmetry to it, under which, a $Z{2}$ even scalar ($\phi_{2}$) and $Z_{2}$ odd right handed component of two exotic charged leptons $(F_{eR},\ F_{\mu R})$, are charged. We also add one $Z_{2}$ even real scalar ($\phi_{1}$) and one complex scalar ($\phi$), three neutral Majorana right handed fermions ($N_{1},\ N_{2},\ N_{3}$), two left handed components of the exotic charged leptons $(F_{eL},\ F_{\mu L})$ as well as $F_{\tau}$ are all odd under the $Z_{2}$, all of which are not charged under the $U(1){F}$. With these new particles added to the IDM, we have a model which can give two scalar DM candidates, together they can explain the present DM relic density as well as the muon (g-2) anomaly simultaneously. Also in this model the neutrino masses are generated at one loop level. One of the most peculiar feature of this model is that non-travail solution to the axial gauge anomaly free conditions lead to the prediction of a stable very heavy partner to the electron ($F{e}$), whose present collider limit (14 TeV LHC) on its mass should be around $m_{F_{e}} \geq$ few TeV.