Radiative Linear Seesaw model, Dark Matter and $U(1{)}_{B-L}$

Abstract

In this paper we propose a radiated linear seesaw model where the naturally small term ${\mu }_L$ are generated at one-loop level and its soft-breaking of lepton number symmetry attributes to the spontaneous breaking(SSB) of B-L gauge symmetry. The value of $B-L$ charges for new particles are assigned to satisfy the anomalies cancelation. It is founded that some new particles may have exotic values of $B-L$ charge such that there exists residual $Z_2\times Z_2^{\prime }$ symmetry even after SSB of $B-L$ gauge symmetry. The $Z_2\times Z_2^{\prime }$ discrete symmetry stabilizes the these particles as dark matter candidates. In the model, two classes of inert fermions and scalars with different $B-L$ charges are introduced, leading to two-component dark matter candidates. The lepton flavor violation processes, the relic density of dark matter, the direct detection of dark matter and the phenomenology at LHC are investigated.

23 pages, 13 figures, more discussions and references are added, published in PRD

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