Abstract

We revisit a model in which neutrino masses and mixing are described by a two right-handed (RH) neutrino seesaw scenario, implying a strictly hierarchical light neutrino spectrum. A third decoupled RH neutrino, NDM with mass MDM, plays the role of cold dark matter (DM) and is produced by the mixing with a source RH neutrino, NS with mass MS, induced by Higgs portal interactions. The same interactions are also responsible for NDM decays. We discuss in detail the constraints coming from DM abundance and stability conditions showing that in the hierarchical case, for MDM ≫ MS, there is an allowed window on MDM values necessarily implying a contribution, from DM decays, to the high-energy neutrino flux recently detected by IceCube. We also show how the model can explain the matter-antimatter asymmetry of the Universe via leptogenesis in the quasi-degenerate limit. In this case, the DM mass should be within the range 300 GeV ≲ MS < MDM ≲ 10 PeV. We discuss the specific properties of this high-energy neutrino flux and show the predicted event spectrum for two exemplary cases. Although DM decays, with a relatively hard spectrum, cannot account for all the IceCube high-energy data, we illustrate how this extra source of high-energy neutrinos could reasonably explain some potential features in the observed spectrum. In this way, this represents a unified scenario for leptogenesis and DM that could be tested during the next years with more high-energy neutrino events.

Highlights

  • The possibility of explaining the dark matter (DM) and baryon asymmetry of the Universe within a unified picture is an attractive idea, intensively explored during recent years [1]

  • In particular we show that relaxing the assumption of ultra-relativistic thermal NS abundance at the resonance, the hierarchical case (MDM MS) becomes viable extending the range of allowed values for MDM

  • As we discussed in detail, in the scenario of cold DM from RH neutrino mixing, the same new interactions are responsible both for NDM production and DM decays, with much stronger predictive power compared to models one can imagine where there is one kind of interaction responsible for production and another responsible for decays where one has in any case freedom to reproduce both DM abundance and a contribution to IceCube neutrinos

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Summary

Introduction

The possibility of explaining the dark matter (DM) and baryon asymmetry of the Universe within a unified picture is an attractive idea, intensively explored during recent years [1]. Very heavy DM decays have been proposed to account for part or all of these events [16, 17] and different constraints, within different models, have been presented [18,19,20,21,22,23,24,25,26,27,28,29], showing that this could be a potential explanation of the observed events (or part of them) Encouraged by this phenomenological picture, in this paper we revisit the cold DM RH neutrino mixing scenario discussing a few important aspects and showing how to test it with high-energy neutrino detectors such as IceCube and showing explicitly how the same set up can accommodate the matter-antimatter asymmetry of the Universe via leptogenesis, as first pointed out in Refs.

The cold DM RH neutrino mixing scenario
From the minimal seesaw Lagrangian to Higgs portal interactions
DM mTD
Estimation of the NDM abundance
DM decays
The quasi-degenerate case
Matter-antimatter asymmetry from leptogenesis
High-energy neutrinos from DM decays and IceCube data
Flavour composition of hard neutrinos
Flavour composition of hard neutrinos at production
Flavour composition of hard neutrinos at Earth
Event energy spectrum
Conclusions and final remarks
Full Text
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