Dark matter, neutrino mass, cutoff for cosmic-ray neutrino, and the Higgs boson invisible decay from a neutrino portal interaction

Abstract

We study an effective theory beyond the standard model (SM) where either of two additional gauge singlets, a Majorana fermion and a real scalar, constitutes all or some fraction of dark matter. In particular, we focus on the masses of the two singlets in the range of O(10) MeV − O(10) GeV, with a neutrino portal interaction which plays important roles not only in particle physics but also in cosmology and astronomy. We point out that the dark matter abundance can be thermally explained with (co)annihilation, where the dark matter with a mass greater than 2 GeV can be tested in future lepton colliders, CEPC, ILC, FCC-ee and CLIC, in the light of the Higgs boson invisible decay. When the gauge singlets are lighter than O(100) MeV, the interaction can affect the neutrino propagation in the universe due to its annihilation with the cosmic background neutrino into the gauge singlets. Although can not be the dominant dark matter in this case, the singlets are produced by the invisible decay of the Higgs boson at a rate fully within the reach of the future lepton colliders. In particular, a high energy cutoff of cosmic-ray neutrino, which may account for the non-detection of Greisen-Zatsepin-Kuzmin (GZK) neutrinos or non-observation of Glashow resonance, can be set. Interestingly, given the cutoff and the mass (range) of the WIMP, a neutrino mass can be "measured" kinematically.1

Consideration on the Relationship of Theoretical Ultraviolet Cut-Off Energy with Experimental Data

“…Since the interaction between neutrinos and matter is weak, the neutrino shows fundamental physical properties, as is claimed in Ref. [17]. The theory of this paper indicates that a light quantum particle is largely scattered above the cut-off energy.…”

“…This model suggests a new reaction absorbing a neutrino and its energy range by introducing elementary particles. The energy range is from around the PeV-level to energies higher by some orders of magnitude, and this energy range depends on the model [17]. By contrast, the theory in this paper leads to that neutrinos are scattered via interactions with the effective fields, which are newly introduced, due to the long-range disorder in a system with the local periodicity of space-time elements obtained by dividing the spacetime continuum.…”

“…In fact, a basic theoretical model is proposed in Ref. [17], aiming at the explanation of the IceCube experiments that show no neutrino detection above the PeV scale. This model suggests a new reaction absorbing a neutrino and its energy range by introducing elementary particles.…”