Abstract
In an attempt to unfold (if any) a possible connection between two apparently uncorrelated sectors, namely neutrino and dark matter, we consider the type-I seesaw and a fermion singlet dark matter to start with. Our construction suggests that there exists a scalar field mediator between these two sectors whose vacuum expectation value not only generates the mass of the dark matter, but also takes part in the neutrino mass generation. While the choice of Z4 symmetry allows us to establish the framework, the vacuum expectation value of the mediator field breaks Z4 to a remnant Z2, that is responsible to keep dark matter stable. Therefore, the observed light neutrino masses and relic abundance constraint on the dark matter, allows us to predict the heavy seesaw scale as illustrated in this paper.The methodology to connect dark matter and neutrino sector, as introduced here, is a generic one and can be applied to other possible neutrino mass generation mechanism and different dark matter candidate(s).
Highlights
In an attempt to unfold a possible connection between two apparently uncorrelated sectors, namely neutrino and dark matter, we consider the type-I seesaw and a fermion singlet dark matter to start with
We demonstrate that the assumption of a Z4 symmetry under which φ transforms as 2 in additive notation the connection can be securely established, while after spontaneous symmetry breaking (SSB), the theory keeps a remnant Z2 symmetry to stop the DM from decay
SM singlet scalars charged under additional symmetries acting as portals between the dark sector and SM have been explored in some earlier attempts [65–68], this has never been connected to the Yukawa neutrino sector to the best of our knowledge
Summary
We choose the simplest seesaw extension of the SM with right handed neutrino (N ), a minimal DM in the form of singlet Majorana fermion χ and a mediator singlet scalar field (φ). The mediator field φ and the DM field χ together forms the hidden sector. Note that all these additional fields (i.e. beyond SM fields) transforms non-trivially under a Z4 symmetry. Note that while L and N carry Lepton numbers -1 and 1 respectively, the dark sector Majorana field χ does not have any Lepton number. This minimal field content allows us to have a phenomenologically viable DM sector and type-I seesaw mechanism for neutrino mass generation (a toy model), which are connected by the vev of the mediator field. SM singlet scalars charged under additional symmetries acting as portals between the dark sector and SM have been explored in some earlier attempts [65–68], this has never been connected to the Yukawa neutrino sector to the best of our knowledge
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