Abstract

We study the scenario in which the Standard model is augmented by three generations of right-handed neutrinos and a scalar doublet. The newly introduced fields share an odd charge under a ℤ2 parity symmetry. This model, commonly known as “Scotogenic”, was designed to provide a mechanism for active neutrino mass generation as well as a viable dark matter candidate. In this paper we consider a scenario in which the dark matter particle is at the keV-scale. Such particle is free from X-ray limits due to the unbroken parity symmetry that forbids the mixing between active and right-handed neutrinos. The active neutrino masses are radiatively generated from the new scalars and the two heavier right-handed states with ∼ mathcal{O} (100) GeV masses. These heavy fermions can produce the observed baryon asymmetry of the Universe through the combination of Akhmedov-Rubakov-Smirnov mechanism and recently proposed scalar decays. To the best of our knowledge, this is the first time that these two mechanisms are shown to be successful in any radiative model. We identify the parameter space where the successful leptogenesis is compatible with the observed abundance of dark matter as well as the measurements from the neutrino oscillation experiments. Interestingly, combining dark matter production and successful leptogenesis gives rise to strict limits from big bang nucleosynthesis which do not allow the mass of dark matter to lie above ∼ 10 keV, providing a phenomenological hint for considered low-scale dark matter. By featuring the keV-scale dark matter free from stringent X-ray limits, successful baryon asymmetry generation and non-zero active neutrino masses, the model is a direct analogue to the νMSM model proposed by Asaka, Blanchet and Shaposhnikov. Therefore we dub the presented framework as “The new νMSM” abbreviated as ννMSM.

Highlights

  • The mass of the fermionic DM particle

  • We identify the parameter space where the successful leptogenesis is compatible with the observed abundance of dark matter as well as the measurements from the neutrino oscillation experiments

  • Combining dark matter production and successful leptogenesis gives rise to strict limits from big bang nucleosynthesis which do not allow the mass of dark matter to lie above ∼ 10 keV, providing a phenomenological hint for considered low-scale dark matter

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Summary

The model

The scalar sector is equivalent to the one in the inert doublet model [28] with the potential that reads [1, 29]. By introducing an additional doublet, the scalar sector contains four additional degrees of freedom with masses m2± = μ22 + λ3v2, m2S = μ22 + (λ3 + λ4 + λ5)v2, m2A = μ22 + (λ3 + λ4 − λ5)v2. M±, mS and mA are the masses of the charged, CP-even and CP-odd scalar, respectively. After adding a Majorana mass term for right-handed neutrinos, the relevant lepton sector Lagrangian reads. Where α denotes the SM lepton generations and mNi is the mass of i-th right-handed neutrino. Without loss of generality we take the right-handed neutrino mass matrix in the diagonal form. Note that the replacement Σ → Φ transforms the Yukawa term in eq (2.4) into the one given in eq (2.3)

Relevant constraints
Active neutrino masses
Dark matter production
Production via scalar decays
Production via N2 decays
Leptogenesis
Identifying the viable joint parameter space for DM and leptogenesis
TeV mN2
Detection prospects
Summary and conclusions
A Phase space integration and reaction densities
Full Text
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