Abstract
In this work we consider a minimal version of the scotogenic model capable of accounting for an electron electric dipole moment within experimental sensitivity reach in addition to providing a dark matter candidate and radiatively generating neutrino masses. The Standard Model is minimally extended by two sterile fermions and one inert scalar doublet, both having odd parity, while the Standard Model particles have an even parity, imposed by a ℤ2 symmetry. The neutrino Yukawa couplings provide additional sources of CP violation, and thus a possible impact on electric dipole moments of charged leptons. This model provides two possible dark matter candidates (one bosonic and one fermionic) and our results show that, independently of the ordering of the generated light neutrino spectrum, one can have sizeable electron electric dipole moment within ACME sensitivity reach in the case of fermionic dark matter candidate.
Highlights
Existence of Majorana neutrinos and with CP violating phases; many other processes reflecting total lepton number violation by two units (∆L = 2), as in the case of the latter observable, are being actively searched for
This is in contrast with the inverse seesaw realization, where minimal realizations have been found in ref. [28], and for which it was shown in ref. [29] that charged lepton electric dipole moments (EDMs) can be enhanced by large neutrino Yukawa couplings, naturally present in the inverse seesaw models
We focus on the electron EDM hereafter, the analytical formula we derive in this work is general for any charged lepton EDM
Summary
The mass of the charged scalar η+ and the average of the squared mass of CP-even and CP-odd states are given by m2η+ = μ2η + λ3 H 2 , m2η0 = (m2R + m2I )/2 In this model, Majorana neutrino masses for left-handed neutrinos are induced at one-loop level as shown in figure 1 and the (3 × 3) neutrino mass matrix is computed as (mν )αβ =. Since the lightest Z2 odd particle is stabilized, the model includes a dark matter candidate which, depending on the mass hierarchy of the Z2 odd particles, can be either the lightest singlet fermion N1 or the neutral component of the inert scalar doublet η.
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