Abstract
With the KATRIN experiment, the determination of the absolute neutrino mass scale down to cosmologically favored values has come into reach. We show that this measurement provides the missing link between the Standard Model and the dark sector in scotogenic models, where the suppression of the neutrino masses is economically explained by their only indirect coupling to the Higgs field. We determine the linear relation between the electron neutrino mass and the scalar coupling $\lambda_5$ associated with the dark neutral scalar mass splitting to be $\lambda_5=3.1\times10^{-9}\ m_{\nu_e}/$eV. This relation then induces correlations among the DM and new scalar masses and their Yukawa couplings. Together, KATRIN and future lepton flavor violation experiments can then probe the fermion DM parameter space, irrespective of the neutrino mass hierarchy and CP phase.
Highlights
The identification of cold dark matter (DM)—a mysterious particle that according to most cosmological models is five times more abundant in the Universe than ordinary matter—is one of the most urgent challenges in modern physics
We show that this measurement provides the missing link between the Standard Model and the dark sector in scotogenic models, where the suppression of the neutrino masses is economically explained by their only indirect coupling to the Higgs field
We demonstrate that a determination of the absolute electron neutrino mass, which has come into reach, will provide additional stringent constraints on the dark sector of the scotogenic model in a way that is almost independent of the neutrino hierarchy and CP phase
Summary
The identification of cold dark matter (DM)—a mysterious particle that according to most cosmological models is five times more abundant in the Universe than ordinary matter—is one of the most urgent challenges in modern physics. Lepton flavor violation (LFV) [15], and measurements of the DM relic density [16] These previous analyses found that the dark scalar/fermion masses as well as their scalar and Yukawa couplings could still vary over several orders of magnitude. We demonstrate that a determination of the absolute electron neutrino mass, which has come into reach, will provide additional stringent constraints on the dark sector of the scotogenic model in a way that is almost independent of the neutrino hierarchy and CP phase. Current neutrino mass and future LFV experiments can probe almost the entire fermion DM parameter space
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