Abstract

We present a detailed study of a combined singlet-doublet fermion and triplet scalar model for dark matter. These models have only been studied separately in the past. Together, they form a simple extension of the Standard Model that can account for dark matter and explain the existence of neutrino masses, which are generated radiatively. This holds even if singlet-doublet fermions and triplet scalars never contribute simultaneously to the dark matter abundance. However, this also implies the existence of lepton flavour violating processes. In addition, this particular model allows for gauge coupling unification. The new fields are odd under a new ℤ2 symmetry to stabilise the dark matter candidate. We analyse the dark matter, neutrino mass and lepton flavour violation aspects both separately and in conjunction, exploring the viable parameter space of the model. This is done using a numerical random scan imposing successively the neutrino mass and mixing, relic density, Higgs mass, direct detection, collider and lepton flavour violation constraints. We find that dark matter in this model is fermionic for masses below about 1 TeV and scalar above. The narrow mass regions found previously for the two separate models are enlarged by their coupling. While coannihilations of the weak isospin partners are sizeable, this is not the case for fermions and scalars despite their often similar masses due to the relatively small coupling of the two sectors, imposed by the small neutrino masses. We observe a high degree of complementarity between direct detection and lepton flavour violation experiments, which should soon allow to fully probe the fermionic dark matter sector and at least partially the scalar dark matter sector.

Highlights

  • Description of the modelThe present model combines the SU(2)L triplet scalars φi of zero hypercharge (U(1)Y) with an SU(2)L singlet fermion Ψ and doublet fermions ψ, ψ

  • When the d = 5 Weinberg operator is realised at one loop [20], such that the particles in the loop have opposite Z2 parity to the SM particles and include a neutral DM candidate [19]

  • One of the most popular so-called radiative seesaw models is the scotogenic model with only one additional scalar SU(2)L doublet and a fermion singlet [21], for which we recently demonstrated the importance of coannihilations between the scalar dark matter and the right-handed neutrinos [22]

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Summary

Description of the model

The present model combines the SU(2)L triplet scalars φi of zero hypercharge (U(1)Y) with an SU(2)L singlet fermion Ψ and doublet fermions ψ, ψ. They are all odd under the discrete symmetry Z2, while the SM fields are even. For the SM Higgs field with a single (inert) scalar triplet (one generation), constraints on the parameters following from. This requirement are given in [6, 17]. Which, together with the new interactions, render the neutral components slightly lighter than the corresponding charged ones [18], making them potential dark matter candidates

Dark matter relic density
Singlet-doublet fermions
Triplet scalars
Radiative neutrino masses
Dark matter direct detection and lepton flavour violation
Singlet-doublet fermion dark matter
Triplet scalar dark matter
Findings
Conclusion
Full Text
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