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

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 ( φ 2 ) and Z 2 odd right handed component of two exotic charged leptons ( F eR , F μ R ) , are charged. We also add one Z 2 even real scalar ( φ 1 ) and one complex scalar ( φ ), three neutral Majorana right handed fermions ( N 1 , N 2 , N 3 ), two left handed components of the exotic charged leptons ( F eL , F μ L ) as well as F τ 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-trivial 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 (13 TeV LHC) on its mass should be around m F e ≥ few TeV.