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 (${\varphi }_2$) 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 (${\varphi }_1$) and one complex scalar ($\varphi$), 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 $m_{F_e}\ge$ few TeV.

Comments: Very minor typos corrected to "Eur.Phys.J. C78 (2018) no.2, 150" in section 4