Radiative neutrino model with semi-annihilation dark matter

Abstract

We propose a Two-Loop induced radiative neutrino model with hidden gauged $U(1)$ symmetry, in which a dark matter of Dirac fermion arises. The relic density gets contribution from annihilation and semi-annihilation due to a residual ${\mathbb{Z}}_3$ parity. After imposing the requirement of neutrino oscillation data and lepton flavour violation bounds, we find out that the semi-annihilation plays a crucial role in order to satisfy the relic density constraint $0.117<\Omega h^2<0.123$, by proceeding near either one of two deconstructive scalar resonances. Our numerical analysis demonstrates the allowed region for the DM-Scalar coupling with the DM mass in $(80,400)$ GeV.

Comments: 27 pages, 8 figures and 1 table; v5 accepted by Physics Review D; v4 add T parameter calculation detail in Appendix B; v3 updated with the EWPT bound and more detail for the model and neutrino mass loop function; v2 typo corrected and figure updated