Gravitational Wave Probe of Singlet-Doublet Dark Matter Induced Radiative Neutrino Mass

We investigate an one loop radiative neutrino mass model, where the loop particles, notably a singlet fermion ($\chi$), a doublet fermion ($\mathrm{\Psi }$) and three generations of singlet scalars (${\phi }_i,i=\{1,2,3\}$) are assumed to be odd under an additional ${\mathcal{Z}}_2$-symmetry. In this setup, the singlet fermion mixes with the neutral component of the doublet to give rise singlet-doublet Majorana dark matter. The addition of ${\mathcal{Z}}_2$ odd scalars in the model provides rich phenomenological implications. We find that the quartic interaction terms between the SM Higgs and ${\phi }_i$s play a significant role in modifying the scalar potential to have a first-order phase transition (FOPT) leading to observable gravitational waves (GWs) spectra. We also examine the non-trivial role played by the singlet-doublet fermion DM and the scalars in loop-induced neutrino mass, $(g-2{)}_{\mu }$, and lepton flavor violation. We find that the model is predictive due to the combined constraints and can be verified at different terrestrial experiments.